{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 数据预处理\n",
    "\n",
    "## 从off文件，均匀采样N个点，形成点云数据\n",
    "\n",
    "## 采样后的点云数据， 进行归一化，中心化\n",
    "从 stanford 获取的 modelnet40_ply_hdf5_2048，可视化为： \n",
    "![d](imgs/ply_h5.png)\n",
    "\n",
    "直接将原始的off文件，进行均匀采样，得到的点云数据可视化为：\n",
    "![dd](imgs/off_raw.png)\n",
    "进行数据的归一化，中心化，得到的数据为:\n",
    "![ddd](imgs/off_h5.png)\n",
    "### 这里最大最小值归一化，若max = min ,会出现除以0的情况\n",
    "$$ \n",
    "\\hat{x} = \\frac {x - x_{min}} {x_{max} - x_{min}} \n",
    "$$\n",
    "这里设置一个$$\n",
    "{x_{max} - x_{min}} < 1^{-5} = 1^{-5}\n",
    "$$\n",
    "为了不让出现nan数据的情况。归一化之后再做中心化\n",
    "$$\n",
    "x-x_{mean}\n",
    "$$\n",
    "得到一个，点云的原点在点云的质心，而且点云数据的大小为[0,1]\n",
    "如果不做这个处理，训练起来收敛慢，而且准确率比较低，难提高。\n",
    "\n",
    "\n",
    "## 对数据集中的点云数据，使用h5文件格式存储\n",
    "\n",
    "## 对训练集进行Shuffle 很重要， 不然读取到的都是一个类别的数据，难训练\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 为for循环加进度条"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████████████████| 1000/1000 [01:41<00:00,  9.83it/s]\n"
     ]
    }
   ],
   "source": [
    "from tqdm import tqdm\n",
    "import time\n",
    "for i in tqdm(range(1000)):\n",
    "    time.sleep(0.1)\n",
    "    pass"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](https://img-blog.csdn.net/20180218151428503?watermark/2/text/aHR0cDovL2Jsb2cuY3Nkbi5uZXQvcXFfNDA2NjYwMjg=/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70)\n",
    "https://blog.csdn.net/qq_40666028/article/details/79335961"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('data/data.txt') as f:\n",
    "    content = f.readlines()\n",
    "acc =[]\n",
    "for line in content:\n",
    "    ele = line.replace('\\n', '').replace(' ','').split(',')\n",
    "    temp = []\n",
    "    for num in ele:\n",
    "        x = num.split(':')\n",
    "        if len(x) > 1:\n",
    "            temp.append(float(x[1]))\n",
    "    acc.append(temp)\n",
    "#print(acc)\n",
    "import numpy as np\n",
    "data = np.array(acc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.429849 0.559789 0.597582 0.620035 0.645636 0.658641 0.668902 0.674896\n",
      " 0.689018 0.689627 0.698568 0.701006 0.708219 0.711064 0.719394 0.714112\n",
      " 0.721731 0.722747 0.725287 0.74459  0.755156]\n"
     ]
    }
   ],
   "source": [
    "with open('data/data_submean.txt') as f:\n",
    "    content = f.readlines()\n",
    "acc =[]\n",
    "for line in content:\n",
    "    ele = line.replace('\\n', '').replace(' ','').split(',')\n",
    "    temp = []\n",
    "    for num in ele:\n",
    "        x = num.split(':')\n",
    "        if len(x) > 1:\n",
    "            temp.append(float(x[1]))\n",
    "    acc.append(temp)\n",
    "#print(acc)\n",
    "data2 = np.array(acc)\n",
    "print(data2[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "def plotxy(x_vals, y_vals, x_label, y_label, x2_vals=None, y2_vals=None,\n",
    "             legend=None,title = None, figsize=(3.5, 2.5)):\n",
    "    import matplotlib.pyplot as plt\n",
    "    plt.figure.figsize= figsize\n",
    "    plt.xlabel(x_label)\n",
    "    plt.ylabel(y_label)\n",
    "    plt.plot(x_vals,y_vals)\n",
    "#     if x2_vals.any():\n",
    "#         plt.plot(x2_vals, y2_vals, linestyle=':')\n",
    "#         plt.legend(legend)\n",
    "\n",
    "def plotXY(x,y,x2 = None ,y2=None,xlabel = 'Epochs', ylabel = 'Acc',\n",
    "           legend=None,title = None, figsize=(3.5, 2.5)):\n",
    "    \n",
    "    import matplotlib\n",
    "    import matplotlib.pyplot as plt\n",
    "    import numpy as np\n",
    "      # # 设置xtick和ytick的方向：in、out、inout\n",
    "    matplotlib.rcParams['xtick.direction'] = 'in'\n",
    "    matplotlib.rcParams['ytick.direction'] = 'in'\n",
    "    plt.figure.figsize= figsize\n",
    "    #取消图例的外边框\n",
    "\n",
    "    fig,ax = plt.subplots()\n",
    "\n",
    "\n",
    "    plt.xlabel(xlabel)\n",
    "    plt.ylabel(ylabel)\n",
    "\n",
    "    #边框\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    if title:\n",
    "        ax.set_title(title ,fontsize=12,color='r')\n",
    "    #步长\n",
    "    yticks = np.arange(0, 1, 0.1)\n",
    "    ax.set_yticks(yticks)\n",
    "    #xticks = range(0,501,100)\n",
    "    #ax.set_xticks(xticks)\n",
    "\n",
    "  \n",
    "\n",
    "    #限幅\n",
    "\n",
    "    \"\"\"set min and max value for axes\"\"\"\n",
    "    #ax.set_ylim([0,9000])\n",
    "    #ax.set_xlim([0,500])\n",
    "\n",
    "#     x = data[:,0]\n",
    "#     old = data[:,1]\n",
    "#     new = data [:,2]\n",
    "    #label=\"Old stratedy\"\n",
    "    #label=\"New strategy\"\n",
    "    line1 = plt.plot(x,y) #label=\"Old strategy\"\n",
    "    if x2:\n",
    "        line2 = plt.plot(x2,y2)\n",
    "        #plt.legend([line1, line2], ['1', '2'], loc='upper left',frameon=False)\n",
    "\n",
    "\n",
    "    \"\"\"open the grid\"\"\"\n",
    "    plt.grid(False)\n",
    "    #图例的位置，不显示边框\n",
    "    #plt.legend(loc='upper left',frameon=False)\n",
    "    #plt.legend(bbox_to_anchor=(1.0, 1), loc=1, borderaxespad=0.)\n",
    "\n",
    "    plt.show()\n",
    "\n",
    "#*Data 可变对象\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "def plot_Lines(*Data,label, xlabel = 'Epochs', ylabel = 'Acc',\n",
    "           legend=None,title = None, figsize=(3.5, 2.5)):\n",
    "    \n",
    "\n",
    "      # # 设置xtick和ytick的方向：in、out、inout\n",
    "    matplotlib.rcParams['xtick.direction'] = 'in'\n",
    "    matplotlib.rcParams['ytick.direction'] = 'in'\n",
    "    \n",
    "  \n",
    "    #取消图例的外边框\n",
    "    \n",
    "    \n",
    "    fig,ax = plt.subplots(figsize = figsize)\n",
    "    plt.xlabel(xlabel)\n",
    "    plt.ylabel(ylabel)\n",
    "    \n",
    "    #边框\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    if title:\n",
    "        ax.set_title(title ,fontsize=12,color='r')\n",
    "    #步长\n",
    "    yticks = np.arange(0, 1, 0.1)\n",
    "    ax.set_yticks(yticks)\n",
    "    #xticks = range(0,501,100)\n",
    "    #ax.set_xticks(xticks)\n",
    "\n",
    "  \n",
    "\n",
    "    #限幅\n",
    "\n",
    "    \"\"\"set min and max value for axes\"\"\"\n",
    "    #ax.set_ylim([0,9000])\n",
    "    #ax.set_xlim([0,500])\n",
    "\n",
    "#     x = data[:,0]\n",
    "#     old = data[:,1]\n",
    "#     new = data [:,2]\n",
    "    #label=\"Old stratedy\"\n",
    "    #label=\"New strategy\"\n",
    "    lines = []\n",
    "    for i, data in enumerate(Data):\n",
    "        print(label[i])\n",
    "        line = plt.plot(data[0],data[1], label=label[i])\n",
    "        #lines.append(line)\n",
    "        \n",
    "    #plt.legend(lines, list(map(lambda x : str(x), range(len(lines)))), loc='upper left',frameon=False)\n",
    "\n",
    "\n",
    "    \"\"\"open the grid\"\"\"\n",
    "    plt.grid(False)\n",
    "    #图例的位置，不显示边框\n",
    "    plt.legend(loc='upper right',frameon=False)\n",
    "    plt.legend(bbox_to_anchor=(1.0, 0.9), loc=1, borderaxespad=0.)\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotXY(range(0,data[:,1].shape[0]), data[:,1], range(data2[:,1].shape[0]), data2[:,1])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sub_mean_data_PointNet\n",
      "min_max_sub_min_PointNet\n",
      "DGCNN\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_lines = [(list(range(0,data[:,1].shape[0])), data[:,1]), (list(range(data2[:,1].shape[0])), data2[:,1]),(list(range(data3[:,1].shape[0])), data3[:,1])]\n",
    "label = [\"sub_mean_data_PointNet\",\"min_max_sub_min_PointNet\",\"DGCNN\"]\n",
    "plot_Lines(*data_lines,label = label,figsize = (10,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.450777 0.647465 0.707711 0.742761 0.751092 0.773341 0.777608 0.79173\n",
      " 0.79488  0.802906 0.814589 0.818754 0.823631 0.828508 0.836534 0.835822\n",
      " 0.837956 0.840597 0.843747 0.860916 0.874733 0.876664 0.879915 0.878696\n",
      " 0.884588 0.8917   0.88408  0.889566 0.889769 0.888245 0.894849 0.890684\n",
      " 0.893732 0.896779 0.897592 0.900335 0.903586 0.899827 0.898811 0.914254\n",
      " 0.918724 0.917302 0.92482  0.921873 0.927258 0.926852 0.926445 0.934166\n",
      " 0.929595 0.927258 0.926953 0.933354 0.932236 0.932033 0.933252 0.935284\n",
      " 0.936605 0.93823  0.939754 0.942192 0.944529 0.946459 0.949202 0.946561\n",
      " 0.952047 0.951844 0.949812 0.950625 0.95032  0.952555 0.953673 0.95479\n",
      " 0.95225  0.95286  0.955908 0.957838 0.955806 0.956416 0.957736 0.959972]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "with open('data/data_dgcnn.txt') as f:\n",
    "    content = f.readlines()\n",
    "acc =[]\n",
    "for line in content:\n",
    "    ele = line.replace('\\n', '').replace(' ','').split(',')\n",
    "    temp = []\n",
    "    for num in ele:\n",
    "        x = num.split(':')\n",
    "        if len(x) > 1:\n",
    "            temp.append(float(x[1]))\n",
    "    acc.append(temp)\n",
    "#print(acc)\n",
    "data3 = np.array(acc)\n",
    "print(data3[:,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DGCNN\n",
    "## acc 比较高，但是训练时间非常长\n",
    "### 一个Epoch 11分钟\n",
    "### 计算流程\n",
    "```python\n",
    "torch.Size([2, 3, 2000])\n",
    "get graph feature :torch.Size([2, 6, 2000, 20])\n",
    "conv1 :torch.Size([2, 64, 2000, 20])\n",
    "max arrg :torch.Size([2, 64, 2000])\n",
    "get graph feature :torch.Size([2, 128, 2000, 20])\n",
    "convx2 :torch.Size([2, 64, 2000, 20])\n",
    "max arrg x2 :torch.Size([2, 64, 2000])\n",
    "get x2 graph feature :torch.Size([2, 128, 2000, 20])\n",
    "convx2 :torch.Size([2, 128, 2000, 20])\n",
    "max arrg x3 :torch.Size([2, 128, 2000])\n",
    "get x3 graph feature :torch.Size([2, 256, 2000, 20])\n",
    "convx4 :torch.Size([2, 256, 2000, 20])\n",
    "max arrg x4 :torch.Size([2, 256, 2000])\n",
    "cat x1 x2 x3 x4 torch.Size([2, 512, 2000])\n",
    "convx5 :torch.Size([2, 1024, 2000])\n",
    "x1 x2 cat x shape :torch.Size([2, 1024]),torch.Size([2, 1024]),torch.Size([2, 2048])\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Train 1', ' loss: 2.216696', ' train acc: 0.624593', ' train avg acc: 0.463335\\n']\n"
     ]
    }
   ],
   "source": [
    "print(content[1].split(','))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "def draw_Point_Cloud(Points, Lables=None, axis=True, **kags):\n",
    "\n",
    "    x_axis = Points[:, 0]\n",
    "    y_axis = Points[:, 1]\n",
    "    z_axis = Points[:, 2]\n",
    "    fig = plt.figure()\n",
    "    ax = Axes3D(fig)\n",
    "\n",
    "    ax.scatter(x_axis, y_axis, z_axis, c=Lables)\n",
    "    # 设置坐标轴显示以及旋转角度\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_zlabel('z')\n",
    "    ax.view_init(elev=10, azim=235)\n",
    "    if not axis:\n",
    "        # 关闭显示坐标轴\n",
    "        plt.axis('off')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import h5py\n",
    "with h5py.File('points.h5','r') as f:\n",
    "    data = f['data'][:]\n",
    "    \n",
    "draw_Point_Cloud(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "def translate_pointcloud(pointcloud):\n",
    "    xyz1 = np.random.uniform(low=2. / 3., high=3. / 2., size=[3])\n",
    "    xyz2 = np.random.uniform(low=-0.2, high=0.2, size=[3])\n",
    "    translated_pointcloud = np.add(np.multiply(pointcloud, xyz1), xyz2).astype('float32')\n",
    "    return translated_pointcloud\n",
    "\n",
    "translate_points = translate_pointcloud(data)\n",
    "draw_Point_Cloud(translate_points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5yvNj1PyI6XqIHyviea5MSWJFKGCssrTozVk/IATYpsGe7ix5RzBYiRkp+3jR6nIxr8TKWwmj5QA3iPEjiVRweEeO6XpE3Y+IDcFAZwbbFBTdkFcn6rxmdwdvOtjTFoPQeMXnay+OMlUN2dWV5icO91HzI752fIzRmTrnZjyEUkxUAw5uz3N6vMa5qTqHtufX7aa06U61LIuZmRluueWWOZ+JoqhlMbquy8zMDMPDwy13qhBiyXlGx3GumSBstPuxHc6vtUAL3xrQdBGGYUi5XF6xq3A2hmG0rKj5ApXJZBYVtdmNIZfCdV36+vrI5/Nrtr/rzUjJ41PfPkM9iDk35eJFMTnHJGUJ6sFCaYtVY76OpSMvabzX9KgpBXEsmaoFvHm3xfPHJVV/fQqYr4ZYwbR76Rw5Plzl3sO9zNQDBos+A93JnJhlCO7c28HP3tZ/2Zy99eLcZI3/8cRFhooue3symMKgI2vTmTH5yvMj/N63T5OxTWZqPrFK9k0BhZTJrs40XVkHf5U3HFfKUkJhWRb5fH7J62S+O7VWq7XcqWEYopRquVMzmQxBEKy7O3W5/dEsz5YVviYrDciY/5gfkCGEwPM8hoeHF62QsZi1tREn7LV2wa6Gv3p2lFAqenIOQkgiCdUgTiw1FhE2lYieY7DoHJslYHdXmrGKTygVhhAYQiGBPT0ZJouCNx/sYag0TBy157GKFJydqnP3gW52dqSZqIXYJhzekefnb9+1YaI3f6AdLXn8p2+dZrwS0JEy+eHZGWZqIbs6U5S9xFIPI0kQSWbpOCZJENALwyVeO9BJ2jbxwph6IHn4+VGGSz47O9K888h2OjL2mu7Daq67lbhTwzBsWYxKqZY71ff9VhDKYhZj88Z2NWjhWx2bXvg8z+OjH/0opVKJYrHIyy+/zNve9jZuuukmPvKRjwArC8hYzNqaTb1e58yZM9x8883XYjeX5HoUvqlaQMY2uTjjEkuBQGGQBKIYhkEtiJKE8cZu7epMMVUPyNrmovU1OzI2r93TwfdOTiEaqQixglv78wx0pZkEjuzME8Xre5yWs0ZXwmQt4G2H+zg9UeP0ZI0benP8vVv62F5YmAO4FpydrDFa9unK2BzekW8FoFT8iNPTJZRSXJipM1bx2Z5PIVHM1EOmagGRlPihJJQKyxDYpkCEyf4bNP5R4IWSihfx4LFBlFIMjfjs2VWjN5/i1ckaDx4b5FffuG/NhH0905kcx8FxHDo7Ozlz5syK3KnNecYoilblTtXCtzraRvgeeeQRPvzhDxPHMR/4wAf4+Mc/Puf9T33qU/zJn/wJlmWxbds2/vRP/5R9+/Zddrm2bfO+972Prq4uOjs7ef/738/v//7vs2vXrjXd/nYuUn29UPYiPn9siOPDFUYb821BwwUWSQikYl+nwy/cuY8/efwiliH4sV1JG6BzU3XOT9UWXe50PeSrL4wDieA5pqAzbZK2TX71fzxHQfmcrpxlnXXvqkQPko4Q//tDz5NzbBxT8NirRbpzNvffun1Ntg+g6iU3Di+NVPjWK+MYAoZLHh1pm3ce2UbkxnzvR8N4scF4xePEaIWyH1HxIgopCz+UpCwDwxBIktqotpncvMyJlJVJXqQlBJZpsLszTckNOT0Tc9N+k5RlsKMjzUjJpVgP2bZG4n4thWIl7lTf91ti2HSnzq6datv2HGFsBu1ks9lNE3G5EbSF8MVxzIc+9CG++c1vMjAwwF133cUDDzzAkSNHWp+5/fbbOXbsGNlslj/8wz/kN3/zN3nooYcuu2zTNHnTm97U+n8mk1kwv7YWtLNl1a7bNRulFH/0/fOcnqjjR5JaELcSxU0BpiGIYsUv3LmTtx3uY1s+xTdeniCIFQNdKQ72Zvnsj7wk8nERYpXM71kGhI2I0GPni8jGnBMEG7avV4MfgZQh+3qzxFLxx49dWBPhi2LJ118a54XhMjJWnJuuc/ueDp69WGKk5GEYAqVgerrOwI4sXTmH46MBnVkbJQQVL2K65uOGEscysEgsdEuAYxmUvahVQEABwoBC2qIexuzpyQBJDqIiEd+urIOUCqlYUzduO1tITVdoJpNZ9P357lTP8wjDkJMnT+L7PlLKVnTqWrpTNyNtcSSefPJJDh06xA033ADA+973Ph5++OE5wnfvvfe2nt9999189rOfXdW65s/xrRXtKnztul3zqfoRz1wsMVULGCsHrSAUsxGCaRrJ49R4nWcunkWhuDjtkkuZuKHNsQsl9vVkqI5Ul4ywlCp5AEzW2ieQ5UoJZVKTNG0a1IOYehCTsS8f6BTGiVsxbZtknaSA9PdOTfE3xycpeREpy2J7weHCTJ1XRqs8P1gkUtCRtoglSCV5eSLkQm2GbYUUUSzJOUlX+qxl8uxQEceSoBSGaRIHAT15h+6Mw2DRJWMblP0I2xQ4psm7f6yfZy4UmamG5HssbMOgJwUlL0IUXaSENxzooiu7tnN81yvz3akAw8PD3H777a3ffrY71fM8ZmZm5iT7A3Nqp84WxqXcqZuRthC+oaEh9uzZ0/r/wMAATzzxxJKf/8xnPsO73vWuVa3Ltu0F+WtrgW5LdHU8M1jmYtGj6ketqieQWGO2AMc06MxYvDBU5nX7urgw41LxI2pBzEBXhvGKT94xcUxBuEz1ls3CdC2Z0xSG4Of+6BgCeN/rdvG+O3fhRZIvPzvCD88WcWzBHXu6ePPBHr7x8iRlL0IIuO/INtwg5g+/P0g+bVKsRYxXq2zLpwilQilF1U+sNy+MSVkm3z0xiRcqajKg4sdEsQQBlmlQcCw60zaCiLIXU/UDYhSj5YDz0x6QTOuZpqAjbRHEiomKz+EdefJpk+Gyh5Tw1gGbn3zTfmbqIV1Zm4Pbcmt63NrZ4lst81Oa1sKdupgwLjWOXI/Hsy2Eb7EDutTB/OxnP8uxY8d49NFHV7UubfG1H14Y8z+fHaUvZ1PzYwSJi8sxkkavsVJEMkk32NmRwrEMJioBhkj639WCmLxjcm7aXfd5unahHkhiqTAF1MPEdfsfv32WP/3BRXZ1phkqekgUUsKFKZdHXhznpv48+bTFVDXgd792ilBK6kGMoRR+LAni5BhnbJOMbRDLpPRazZfYhsANY7pSgr6ODGPlgJl6lLRhMmBSBZgAhiBjGwSRwovm1ruRgIwVbhCxrZDmxFiV//Bzt7K3J8t0PSRlGbzy3BQHt69f6s1mFL4r4UrcqU1LsVwut0Ty8ccfb3XcaC6no6ODHTt2bPCeXB1tIXwDAwNcvHix9f/BwcFFg0++9a1v8a//9b/m0UcfndMq5UrYasIH7T3HV/UjPvXtMxw7XyKUspHfZeFFMVGcRHPmUyYCONibYbIWMlMPKHkh0/UQQwieHSxRdCO6snZi0QA5x8QyBVPzOhRsFmNQQUNY5jJdj6h6NUxT4TWiKCuNAqWnJus4lkCqxPqKZCJOYyKxqiMJZS8kiCRhLAklFGwBRrLcWCrKHsTCZ6YetmqZxrLRg1ABsUIhCZe5A5ES7trbhTIE+3pzOJbBzs4r7923Wray8F2OxdypTR5//HHe+MY3Esfxgh6N1xttIXx33XUXp06d4uzZs+zevZsHH3yQz33uc3M+88wzz/DBD36QRx55hO3bVz+Zv56uznYUmHa/yB89Nc0TZ4ukLEEUgEBRD2NSloFtJi7OrqyFIQQxgoGuNH6k8KPECsk5JrVAEsWK/kIKN4gRIulO0Jm26M7aKJXUh1xuMN5MRHJuh4omQayQKrmZMBrBQpDcDPiNQyNIjl2sLj3vzTm4YYxjGkRSMlUNW10uZtc9bX7/cmkhhiE4dqHEr75pD461sZGI7XiNXg/MPm6mac5xp16P0aRtIXyWZfHpT3+a++67jziOef/738+tt97KJz7xCV73utfxwAMP8NGPfpRqtcp73/teAPbu3ctf//Vfr2pdW0342nG7IClL9vSFIm4k6cvZZB2TipfUX3nt7gLHLpapBTF+FJGxLWxTcNP2HO+9YydBJJFS8tTFMrGUxEpR8UPyKYvxajJXMVUPW+XJNqgwSFuw1K4KEpETQhBLhWEIzFihGgmGWcckVgoZSwxBq2BA2Uvcn1nHYqZ2qZbp/LzEleQpChJhTjsG77hp7dIwVspWd3Wuls123NpC+ADuv/9+7r///jmv/c7v/E7r+be+9a01Wc96ujrbkXYVvvPTLv/9++e5MO1ScpNeed05i1hadKZNXhqr4scSqRReqAjikJv7c/zK3QP0ZB06MhbfOzmJbQpMw8Q0BKPloGXVCZIEdwVXn0C3SWgeC8uCKE4KaxtGQxAFBFFMJBudKBrHTCqIpURKA4hax9ISYFsCrzG/aArIpU3KbrysAHZmLAwB2wsO3bm17xe4Etr1Wm1nNrL90UawefZkhayX8LUr7Sh8E3XJx778Ei8OV8inTHZ1pii6IZO1kI60xcFtWYJIsSPv0JW1yaYsdnSk+fC9NzDQlSHrmNx7uJeKH1P2YiKpuHl7Dsc0MMWlmpzN0Ir22vtrR1OQ/DAJHopkMj8Xy2aBgIXWogK2d9goJG4kCVViQRtG8hcgbQkObssx0JUhZYokBWUWjgkpE7ozFoWURT5l8a5bd8xpRbRRtNu1cL2wkV0gNoK2sfg2iq0mfNBeF/t0LeBLpwIm64q8Y3J+2mN3V4qenMOdezp4y6FefnShyHNDFcJYkXNMUAopFY+fmWGo6HHrzgJfeWGM3qydNGAVgotFH4XCNAVRpNY0unPpzu3XD80hK+8YGAIqfrJHctb7ix0yA7hjoJNHT0+Tc0xEHGI5KSaqAY5h0tFhknNMhosepkFSB9WEjJk0xzWEor8jzfZCir68QxDD7s4U7zxybaIAN5vLbqPYbMdtSwrfeszxtSvtZvGdmaoTSsG2vNOYOzIYKvoc2Znn52/fSdmLEQgKKYtYKWp+hB8rujIWJ8erPDtY5vEz00Sx4u4buvnR+RI1P6IWxrxuTyePnZlZs20VwC07cpycqHGlKZpXW5dzrUnbAjdU1IMk906RbKNpJBbfUtsqga+/PJnkqaoYFYMZhxgCQikhgNGyv+B7OzImr9ndwa6uNB0Zm390915OjtdwTMGtuzrIp67N0LMRA3g7XW9rxXKuzutRELek8G0li6/dTkrbNFAIDm/P8cpYjZIbooB/8LpdfP3lSZ44l1T3vzjjYZpJ1GZv1uZ1+zqwTIPurOL0RB1DCLZ3mLz1UA9lLyKSis602VKcprvzai0/o9H01TKSgJCVLq7dhj43bERwwpyNm11FcymxTooIKPzGfF4OyDgmVS+mJhe/iaz5MY5lUPFi7juygx0daXZ0pNdwj9qbdrvurpbN5urccnN86xXV2a60m8V38448O7KCyWpAf8HhQG+WT95/Ix1pmx+dK5K1TSp+zPaCTVfa4qbtWRBwYdplaMZDysT9eftAB6Mln6GSz3gl4G2He5moJtVMktqeVy96CnixUQIt2iwJgPNoNva1FhnT0o0XBZC2TTqzyX2ybRnkHGvZY6JQVLyI9965izcd7F3z7V4t2uJbHdrVeZ2zFS2+9b4QY6l4aaTCVC1kR0eKnR0OL49WiVUidJ0Zi3oQk0tZpCyD99yUwu/YQT1UHNqe5/D2HM8OljBE0qbGaHRHDxq1Bc9PuZyddBFAPm3x3tv7+bU37uGZwTL/9W/PUQ9iPvP4RaJYEsWJpbEejU1XchQdU7SKazdpWlKGuPYJ9M30DtUIUrEaz23LIJ8y8cIIP1JJsEsjOU+R9M5Lm8mdchjFDC7S/mk2advkp17Tz48f6lv3fboSNkr4NlMEJCQW32bapy0pfNriWx1SKY4PVxgu+fTlbW4b6MQU8OXnRnnqQgnbFNT8mKofkXVMJmsBbhDTnbXpyTl0pC3+8d17SJmCuw72zKkWP9CVQQLjFZ+KF+FHgv5CmifOl1AqqfTfnPMDhWUa/O3p6VaT0/FKQBBLwhhMJNfqpnu+6DVpNsm91sKnAKEu5eiFMpn/c0xB1rG4cXue/g6Hrx0fb7lHm0SN9JD5r89HAHu70tx3ZOPz9FbCZrH4NtKy1BbfdY7jONdliZ1rwXDJ4/y0S8Y2uaU/z3dOTPK9U9OkrMSqOTle594stgFoAAAgAElEQVTDPTw7WGJ3VwpDCE6OVzk37VJIWbhhzEQ1YLTsc8+BHkKp+LMfDnLftoUXbdYxSVsG026IH0n8CPZ1C4JIkbaNVoWPehBzZsoFSOpRKhivBA1LqzG3Z4qk4ayaa6VlHYMgkMy/7VnvQJSsDYYwqCxWTmUNuNKo02aqR3O/3VDhhTGB9Cm5ISfHDaJYzTkuAsjYBm4gyTgmXpTUCpWzjrEB5Gy4Z2+WX7rF5sTzTyOlbDV0nv3IZDLYtr3hg+lGiMVGicRGipEWvusc27apVCrXejM2jNV0jbg443LsfJHvnZqmI22hgB0Fh+GSz+7OFIaAIJL84Ow0J8erPDdYYbo75PD2HG4QE0aSmohIWSZSKYIInrpQ5PX7uxn3AiqdCwefb7w8wdmpOvt7smzL20lfN9NgZ2eK8bKPUpcG2YO9WYBGgEzyWzabnnZkLOp+kkSNgLQp8CKFEJC1BHfuzPKDC3Vml7lULRlYH7YX0gyVFkY+rhVXKqeLlPhEkZQa84KoVYNztvBJQCpBrMANY/ryKcYrPqJxjO+5oZf33LmbA31ZDvRm5wySYRhSr9dxXZd6vc7U1BT1ep0wDBFCkMlkWoIYRRH1ep10Or0urrWNcnVulPBtlPtxs7lvt6Tw6Tm+uUSxZKTsE0vFMxdLfPn5MUZLPmkT9m/Lc6Q/z9mpOlUvor/g8PxIleGiy3ApIGMLLNPk5HiNU+M1Iqmo+hF+KDDNpNC0bSimapLvnpygI+PwbSG5/cciXrpYYbDo4QaSb748TsWLiWXAZDXgxm1ZLFPw2z95kI/+rxNUg0TM9nc5vOuAzYULF3jTtoAn04rxckwYNZrMBlFSnqyxy25znkrBjBvzw4t1dnU6BLGi7sd4sSJY+77Eczg77WGKjZvja87jCZYP8JktbIZIAngss1HVhYVWcCQlXSmoxYJaENORsck5Bv/8HYd4xy07lqy7ads2nZ2dC4oeQzJ31BRE13WJoohXXnkFz/NQSuE4zhwrsfl8tU1VN5vwbZQVttmiOrek8K1HB/Z2ZTnhOz5S4a+eHua5oQqmKchYgueGqgiR5HalLYEwavTlbEwBOzvTPD1YZrIaUKxHJHX4DVJW0oE7VnB0Z56MY3LsfAk/jMk5BmVfYgB+pLCF5NXpkA/+5bNMu0krHDdSGEkTAIxGFZGXBj3u229hzdT57TdmOFOUZFI2d+zOkrUFlmWzK5fjP/1sH198YZpvnpyh6EaU3Ii0nVgvhrgkfJCIQNKtILmIDdPAkjEhjbJd6/g7xOpSpZP1pllyTACFlNFKVp9PyhL4UWLv2o3E/5xtUJYLE/sMwLFMbuhUkMpzeEeeW3d18NYb+9hWWF2nFEgKHOdyOXK5pO/e4OAgd9xxR7IfShEEQUsUq9Uq4+PjLYFsdhufL4ypVOqaDtIbJUgbKUbL7dP1KIhbTvgsy1pXi68dfeFN4VNKcWqiTskNiaXifz47wumJOiPl5O7ab1Q8Ec0ghkhxbsrDj2awTcGH3ryHoekabhDihokFJuOYIFSNKh3g12t0AQc7YLCSdANIGUl6QRjDTD1kWoISIWnbwG1NuAkKGQvbNHGA1+/r4v94141YjbJWb19m/379Ld384l0hFS/i//raSS7MeNiGYKKy0L0oVdLmqCNj8+pEPclRM0AYiQisJ0ptbBWYlsgzd65OkUSfvmZ3gWcHywRxclMiAC9WcwKDmuXHRCPS1osidnTZ/PqbD7Czc33z8oQQpFIpUqkU3d3dC96P43iOC7VUKuG6Lr6f/O6pVGqBKMZxrC2+VaCjOq9z1jOqs2ldtZPwNbdJKcXfvDjG905NIZRiouozVQup+hIThRCKWmNEnj38SyAKfA50Gzx87CxuDEoqHCOJCPRjiFXSRy9tGZRiixQp+nosbtnr8PjZIkYQUfYiHMtAAl4sKaQNDMMgZSfFkRWJy7Qnl0SA2pbBv//Gqxzdlecnj2xf1I0mleLclIsXxuzuSrO7K83bburjv//deWbCpXvCDTXKmymlCGOFCfTlbMYqwRof/bmYAu4+0MV0LeD0eD2ZV9sA16djiUaqSGLdWQYc2pbj5bFaEgUrkgR9P1YLIjYNkUhlzjHpzlgM5CUfetsN6y56K8E0TQqFAoVCYcF7Sik8z2sJY7FYZHh4mFKphFKK0dHRRV2oaxFwsxmFr93GtatlSwrfell8G5Ezp5RCSkkYhkRRdNm/rusSxzGnB8f5XycC+rIGlmmRQTJRDelwBAEiKTyMWtQayWTSHDmwneGSi6pH7BQhU7WQohuAVNimweHeLJGUTFQDTo7XeO3uAkIItuVtwlJMxkraAAQNy8INFJElG/sEu7tS2KbBvp4MtSAmiiVp2+Chp0b4iyeGGOhO88CP7eDew72ttjqfPzbMs4MlTCEwDUE9iPjbV6cJL+PJlsBgMWiFs8TAVHV50VuLyE8hBG/Y303Fjzg/7ZG2DaaXyIfry1kU3WhN2ilFsSJjG+QcA9MQvP2mXv7+0W38k8+/iCJxw8aL5B6aIrGO82mL99y+i3/w+j289OwxDq1jh/S1ohk0M7/T+IULFxBC0N/f37IU6/U609PTuK5LEARzAm5mi+JKA2608LU/W1L41tviWwlSygVCNV+0Zj+fHZlpGAa2bWNZ1py/wrTJp7OkU5deKxaLjM9UGIwLGJlRSFucK/q4UYwQIdUIHMsgiCQ5GyqL5GiV3JCwUdCxI21xsC+LH0mqXsjFoo9lCg71ZXnyQqnhDos5PlqjGiRBM9VGlGV3xsYLJXU/RIlL/eF6cg6HtuW4fU8nN/Xn+eLTI3Rlbc5P1Rmt+BhAf2eKP/vhIPmUyev3d3NirMqzgyV6sjbTtZBXxqqcnXKvWJyagna5Ki+mIZBKXWp1tNxnlyiVlnUMhEi6wytgZgnRyzsGYQy37S7ghZJTE7WrCsCJFbiB5N7DPfzDN+zhjj0dfPrRcywn54rkBuG2gQ5++6eOsKvr2lt4a4lt29i2TUdHx4L3pJQta7FerzM5OYnruriuu6KAm80ofNrVeZ2zlhafUmqBUI2NjS14vfl3dlCNEGKBeDWfp9PpBe+ZprnkdkRS8eVnR/nhuRkEcO/hXvb1ZLgwU8OtVvj+mWliy+PsZJ2n6yGmUPiNTenN2cRKcUNvllgqXhmrtdxvzShEyzCYrAX89G39mIbgS8+MYAiBQvCOm/uIpOSRlybxwxjLMEhbSWDJ2SmXfMrAEAI/ihkq+q2sgbQl2NmV4faBPP/0zfuxDIOMLXhhqIqUEqUUQyUfUwhsU6AUnJ+u81t/fYK79nXx1ht78EPJD87OMFzyl0wcX/b3m/XcNgTBMiGXkUw6lzcjJpf6aG/O4sZtOZ44V1ogKft6Mnhhkmx/dGeBYxdKy67v1p0F6qFkshowVr26czYGjo/WuGNPR2LR2CaOKZBycSsfEjfnO4/0byrRW0lYvmEYLTFb7PvN9Ix6vb4g4MYwDBzHwXVdBgcHW8tZj4AbbfGtni0vfEop4ji+rMtw9vPZzBanKIrwfZ90Ot2aL5gvXutx8jx6aorHz0yzqyuNVPDZJ4fwQkkkFSU3wFAxt+xKYZuCMFbEBlimaAWO3LwjxwvDFWp+3LJUBEkPtY6Mw3tu7+e9d+xishrgRZL33t7P11+ZZLjoc266zt37u9nbnWaqZrKj4HB8pIobxnhRTMWPiOJZxZ0b0YaxlFyYqnPP/i460jb/99dP87WXJlAoCikTL0wqsviRZG93lpdHKwSxYlveYqzi8+VnR5msBgwVPcI1cAdmUyaBu7wnoHkj4JjgLfHR2wc6+eg7DvAz//0poli1biIsAyarPn/82AVMA/ryDp0ZEzeUBNGl45OzoJC2eOfNfUxUQ75zcgpvjcqvjZR9vvD0CL945y7efXQ7Dz01TBQHLJVX35d38KLNFQF9tQO4EALHcXAch66urgXvx3HM5OQk58+fJ4oiRkdHFw24mR+NutyN7XL7ovP4VseWEL5HHnmEr371q0xPT3Pu3DmGh4f59re/zUc+8hFuuukmTNNc1PpKp9Pk8/kF7y114Tz//PPs3r2bVGr14d2r4eR4jY6M3QpEGC55xFLRlbUpuTESePxssRWyn5SsEphCEMSSk+O1RjugS246BdiWyVtu7KEv5/AfvvkqVT/GNgVDRY+urI1tCB57dZrvn55he94GIbBMgx0dKU6N1/AbiiREsk5Jo2qISiI8EYrnh8t88HPP89xQmZRloiSMVULqfpF7D/cyWPIpexH1QJJ1TPo706Qsg6laQE/O5tTE1R27ZqK2f5kB3jJoJdArJejKJOI8X5ReHC5zYcZnd3eGiYqPYRgEUYwbSkbKYUP0oeKGIAw60xZ+JHFDSW/OoT8V8ov37EVi8JVvnSVc45qjf/zYed56Yy9/+oOL9HekAMVoZXFrsuJFHOida/Vshjv/9dz+2SkW+/fvn/OeUgrf91vWYrFYZGRkhHq9PqfCzWxRXC7gpl3y+K7H86GthO+RRx7hwx/+MHEc84EPfICPf/zjc973fZ9f+ZVf4amnnqK3t5eHHnpowcm1GIcOHeKXfumX6Onp4eLFi/zFX/wFf/AHf7Dm27+aKilXS8kNMQWU3aR7edAYRPOOSbEetiyJ2XNTsQIVS6I4STMoNsb8Zi3JZrL10Z0FxsoBp8fHOT/tsqPgcNtABy+OVJBKUQskhXQyb9eTdyi7EVnH4NadBd59ax//z/fOUfPjRDAa00kGidtNCEjbBrs60/zd6WkgmUfzGpEp1UDyowsl3n10O/u6M/y/Pxxkd3ciemGc1OK850A3T10ordriE4BlJiK8XP1J0Tx+KhHAWCVRkLMbiBsiKelVCyTnpuq89VAPf/XsKHEsqc0yqZrziRVf4piKX379Hh55aZLpepJicqYk+eIz46Qsg3qjispaMlYJ+fk/PsaOQop8OumGvgOxaERr1jEpuQEf//JxLEPw83fsWuOt2Xg2qmTZYgghSKfTpNNpenp6FrwfhuGcgJuZmRnq9fqcgJvZoriR+cib4YZnNm0jfHEc86EPfYhvfvObDAwMcNddd/HAAw9w5MiR1mc+85nP0N3dzenTp3nwwQf52Mc+xkMPPXTZZR86dIhDhw4Bycm1XuK00S2AfnBmmi88PUIYK85O1jg/5VLyQqRUVIPEF9cMX2i66ZqJ4vlGYvP8oInmwGybBjGK/rwDJIN62Y8p1kMcy6QWJA1jjcZ3MraFZRj8kzftpb8jjVKKE2N1vv7KBF4Yt4Sl6fprHqbz0y5mQ0HcIJrjaq0HMZ8/NsJPHOrBMOC5wQpdGYuerM3/9vrdvPlgD986McHxkdqcObe0JRAI3MtYS4ZgRQ1mFbPnA5OI0qnaXCtJqKSMWy5l8hdPDBHKJH+u4i8+OEmVCP33Xy0yXPJIcsYVSsKLwxV+4c5dPH2xzFIdAC0DCimLkhddcTWYshcTxR4D3RlMQ9CRTsq8VWadDCkzmVv9z98+k1jiJFV9/sHBmDdexwNgO1duuZKAm6mpKUqlEpVKhcceewzHcRZYildT4WY+2tW5Tjz55JMcOnSIG264AYD3ve99PPzww3OE7+GHH+aTn/wkAO95z3v4jd/4jSs+ya73dIYmk9WAh54eoSdr41gGsZS8NFrldXu7UEry+Nliq8UPKrGu3ECSsgx2daS4aUeOH5ydoewlg93s2BDbgP/zHQd4/EwRyxAU0lYjhUASK+jLWlT9mLIX4UeS7YUUCkXWMenOOq1j8ZG3H+DVyRovDFfJOQadaZOpWoBQ4DgmnWmb81MupsGCsH0FlBrb9jcvTWAKuKEvSyQVdx/o5pXRKo+emuYN+7u5fXcHj56eZqIasi3vcHBbjifPFZeMroRLVtxKb4GaZ1g4T2VMEgs2JnFhCgWTtYBCKqlx2vA+L5AvQ8Cdezs5NV7DCySGkXw2lGAIxYtD5SSSdhEM4FfvHuDm/gJTtYB/8/VXF+7bZfanHiYu7pQJKdskawtq4aWgnUgqTCFIWSaFdDJMFOshT47E/MPLLLudaWfhW47FAm5mZmYYGRnhlltumRNwU6vVmJiYoF6vtwJuFhPFKwm4kVKuah6yXWkb4RsaGmLPnj2t/w8MDPDEE08s+RnLsujs7GRqaoq+vpX3/GqXdIarpeiGCEQrsTux6gQdmaTn3ZsOdnN20kXFkqm6Tz1SpGyD7qzN3p4MXqTY15Pl5dEqoVTYDfExBPzy63fzi3fuJpbw2KvT9OQcdnakGCx5BFHM227q4403dPPicIVvnZhEKcg7Fh940x5Sje05P+3y4FPDTNVD9vek2d+b5ZnBcivHzoglbhgTxpIdhRR+GOPHc7sGzCZWcGqiTtYWfOHpYd58sJfteYexSkB/R4qPvP0gj56epr8jhZSKZwdLuOHSqQVX+ivNX0YrDWLe9s54MZYh8KK41U4pKbhNy7rOOyZv2N9FyQ0pudEl0Zy1nFcn64tacgawrzfNxRmPb74yxWjZJzWrB6BpQMY28YKYy3QPApICBH4cUyVJdE9cukkFn215Z44VKJVsVXLRLM1GpzOsJOBmtgt1bGyMer2O7yfF39Pp9AJhnB9wo12d68RigjH/QK/kM5djs1h8vTkHIcALY9J20gXBNC5FaioluP/W7bxxT5qTF8c4cuMB9nWneW4o6ae3qzNFT87hk39zkuMjFSKZDJpvOdjDB9+8H4D33rGTrGPywnCFO/Z28q9uO0x/R7rlmrxxe56fua0fP0osyeZvMVH1+TePnAIgbxtcKCZVYkpe1HIbuqEiVhG2KXAjhWmaWEhSjTzApbyU9VDhhhEvjZR584197CikGC763HtjL1GcRIJapuBIf4GnLhTxl0lzsM1k0Gg2rV2JpSQa35tdFWb+dyKpqHoxpgGGIdjZ6RDJpOLNe+/YyWQt5MRohbFyMq9mzFpxc5614seLb4tImvV+5+TUnBQOAeQcg3zaIts4Hy7OeCvuQt/sbmGaBkIJbENw783befi5ESYqPpO1gDCWGJHg9Hh1XZLYN0vLoHbrzmCaJvl8nnx+4W82P+CmVCotCLjJZDL4vk8ul2uJouM417UQto3wDQwMcPHixdb/BwcH2bVr16KfGRgYIIoiSqXSopPEy7FZhK87a/Mrb9jNZ58couhG9OVS3LS9wIUZF0MIurIWP/vafuzYw6jbHG4MVK/fP7fm4X95z60cHykzVvY5uruDG7flsM3kYrJNg5+5rZ+fua1/ye0QQpC2L90ZhrHk9757lpfGqhgk9T+lUpTCJLdPNOYYY5XUh8RUTNWCVq3IlAmOYRAtM/mmgNOTLju7KuzuzOBHMQe35XjgNTv4yx8NUayH3NKf59d//DX8i6+eYLjoES+su9wQjoalJJIUj9mpBQv2tfHpleQMqsaxMQ3BLTsK3NSf54Ef28HurjQTFZ9/+dUTeJHCNMErBy3LsfndpZAKRsoLA1EU0J11uGVnngvTLmNln/6OFGUvpBbIFc0DhhJyKYNC2sY2BW+/eRtvONDNhx96HtsU7O3OUqnV+diXX+LP/tEdLRfo9cRmE76rXc/lAm6abaLOnDlDFEUMDQ0tCLg5evTooqLazrTNmXvXXXdx6tQpzp49y+7du3nwwQf53Oc+N+czDzzwAH/+53/OPffcw5e+9CXe9ra3XfEPb1nWukVDbXRwy2sHOjm8PU/Vj+jK2FiNVIMwVuzqTJG2TSoVf9lt6ss7vPXGlbuKL8f3X53h9EQd4phpf+56Y5UEniiloNH6JmxEljZdkrYpuGFHjoszLpPVcMk5OAX84EyRlF2mN+fwm19+mbfe2EPGMunpsyl7MT84O8Mf/OJR/uGfPUvxMjl6t+0u8NJo0pliqcO1YJ6OZeYIRVL/04uSOqYf/PG9GCKxlv7iySEGZzzGKgFhJGmejVd75qRsA8sQzNRDYqXwQklH2iaM/SXzDudTdJO6qj9xYy87Cg5nJmoIIdjXk8U0BJGfFCM4P13n6K6FQRhXw0YJhha+lWNZFh0dHeRyOTo7O9m+fXvrvWbAzUanb60FbSN8lmXx6U9/mvvuu484jnn/+9/Prbfeyic+8Qle97rX8cADD/Brv/Zr/PIv/zKHDh2ip6eHBx988IrXs1ksviZZxyTrXLK49nTPrU241tsURJJHXhrn7JTL7q4099+6fc76R0oenWmLl/3F19l0ERpGY15LJHNLtmFgmYJ9PTmESAJl8qlkHlCpxYs5RxJ25VLs7c4wXvH5/UfP0V9IEcSJ6/XMZI3bdhdolAld1pJLEv6TsmJ+mATxyGb6wiLWIiwfGKMUrRSBpy+WeHmkwk39BT57bJi0ZXCgL8uFGW+ZJVwZAtjfk2WyGiSBKYYg6xh44dJu46WQCr5zcoq3/5fHsEzBTD1iph5wQ18OqZIDU0i1zdBxRWwWd+pGrgcWL1nWDLhZq8jRjaSttvj+++/n/vvvn/Pa7/zO77Sep9NpvvjFL17VOjab8F2OtdwmpRR/9NgFnh0sU0iZHB+p8OpEjX/+joOtucV9vRmmnwsXFQpTwN7uNJW6x0yjY5BUUAskKVPQbVu8OFxCKkjbJoKkB+COgsOxC+UFy1RA2Q2oZS2qXkixHlH1ksLOTUH91LfPkE9ZlNyYuNHFvXVsaFSwQfHe2/v5vUfPA+CkE8EIpeLW/jwvDFdXPFc2m7iRt1jxIj73o2E+dt8hvFDS3ZFiV6fAmjdXeDXs6kzxb376JkZKPv/t787z5PkZql5EyYtXnQvYtJIF4ErFuak6BQt+4Y5+9vZklv/yKthMbsit1I/vemTzJGaskPUUPsMw2k74YPV3ucNFj2++MsGx80VqfsR0LeBH54o4psAQgv5CirNTLiOlS5bLPQe6ObJzYZsYgO2FFP/+Z4+Qs5PowawtWvNafqwYq4RJmyMJfiQRAqZqAfce7mkJ63wqXszxkSpD5SDpIq4upSoYQjDjRgSRYlvBIWUZONal5ajGsenPwbuObucth3qwzSRPL4ihM51Uo5n9nSvFaPQi/O6pKT7xlROMlX2mawEZ22B7zmathpKpasAjx8f5o++fZ7TsY5tJ3uVanI3NZTim4P1HHf7ZWw9c14PgZhFXXatz9bSVxbcRrHc6w0ZXbrkcqz1Zv//qFP/yKyep+TGBlHRlbI705zk9UUtSFoRgf08Ge16fPEMI/tmb9/LcxSJnp7yWtWEZcN9N3fzGF15krJIMpfUl4u2TyEZFrBSxhIPbCnRkEqsukpdKh0EidNEsq8ngUqfznGMmLY+6UwzNeAgUMlZ0pk32dacZrwbUQ0nelrwwVOFfvOtGPv+jIf7sh4MolSSpz09Uv1JimVStSVsiEUEUF2ZcKn5EPZJYhliQG7gaIqn47b85hSESgbp9Tycz9RBDCIJIzrFYBdCdtSi70RX1A+zI2NzYLdZtANwoi2+92azCpxPYr2PW80TZLK7OizMuv/XwCdwwKTdmG4JiPeTYhRIZ28SPkgLYzw2VeefNfeya1ZR0rOzzya+dYrQSYBiQswwObcshBHzpuQlqy/TXmb2VUoEfSnZ1poml5LW7Czx6enqO6DWDS2bP36nGP4aAmhcSSnhxKMSLIGsbFFKCSErOTrsEsSKKFa/48LGHX2FvT4ZiPSKWK2s/tFIMkbQg+rvTU2Rsi4HuNIYQRLHCtgziYPXuyCZNAYtV0vPwlbEajmngmIKUZVBuVHgxBBzstlFA1YO8CdUV3AcK4N1HdwDjV7ml15bN5E5tl1qd1yNbTvjWk80gfGcm6/zbr5+m3Mi5QyXRgkKohlvu0jyZAp4brvCDszP8+MEepFL87iOneOZiibSVtCOqBzEnxmsABLFckZgkyfiQT5uEseSjX36FIIobZb0uCV1TLBYIH4m113T1NWt51kLJJQMu+WTKTJ5WvIhXJ2pYpkGtIUTzA2KauXLVpdoZLLEvoUyq4cQSSl5EfazGSMknlIqUaRBbxhXlEl7uczFJEeyeDFgCHNsgJQRerNjfaWNbFvVI8TNHO/jhhSqmF1Lylt+nbXmbf3z3bo4/t37Ct1lEaaPGAN2dYfVo4VtDrkfhi6RiuhZwfLjM0xfLPDNYYrSURJ40Bc4LE8GSUuKFkoxtJJaXSkqn/e4jp/gXP3kjR3cWuDjjYZkGiqR6iVTN+TrBEhW4FmACGcuk7MbUzJhglkXSrBxiNcp7SeZGV1qNXMHl8gBnY5kGUSiRJHmFHWmDYj15b7GjFlxhiGRToJoFAppBN/UgRkqFMtQc97gjIFQLLdnFlrkcoQJfWbz9SB/7erK8NFLlYtFjWz4JPbe9CNNJ8flfPchvfeU0Q0WX05PuostKGfC7b+3kxPEXqFarPPHEE2SzWXK5XOuRzWbXZGDcDIEnG2WJ6eCW1aOFbw1pV+FbioszLv/xW69yYqzGRDXANJIqJkpdKmINlwbZ5vBcC5MCzD1Zm0gq0qbBn/9wkP/6i0exzaRTeRSrSwlxIulmEK1gLssQSUf4MG6kFMxzwzUtPsc2SYukQ8RsLYoVOEYyf7jc2tKWwIsUUSyJkrRCUoYgjJcXlSuZE5uPLZKbCaEkXTbMBBDEc9MNQpUIZMoQCKFwGxbqbPfu/r40F6a8y25L0Y343LFRso7Bod4spyZrPBOWE8s1ZXKwL8OZSZfJWkB3LoUx6S7qco2BP34x4l1HdzJU8vgnb7wNI06qfVQqFUZHR1uVPlKp1BwxzOVypNPpFQ2a17Jzwlqvo50qt6wF2tWpWZJ2FD5Y/GKXSvGfv3OWshdRdJNmscmgnAhc3Zetjg6LWRgKKHohKdPANgUT1YDvnZzk0LYsQ0WPIEoEqRlh2XTlWQb0ZgzcUFENFFnHwDAaDXJlUuUljJPaoSyyXtlIEQgiycG+LCNlr9VzsPn5JRoitGhevk6jxVDz424oqYdJ7t38Gp+i8TVJfqEAACAASURBVDjaZ/DihLzsnJwgEXHLSOpoChrpDYZAGAbYFvcd6uDZoSoztYAwVuRSBp4f0ZVNUQ2SOqbz+6Mf7Evz44d6+cuZ4aUrcM+jHkieH/n/2XvzMEfu+7zzUwdQuIG+p+foGXI4MxweQ0ockkOdFA9JliLStCIxkmhRlqxE8ibx2vKuZ1freJ+N6Yye1aONHysKI5M2R44Tm3IcMfaj0LYoUeJQHJLD4U2Kc/b0faJxo4C69g901RTQQJ8AGo3u93nwoFENVP3q+r31fb9XxvlsUSqJ9spIipsHIkykCggUahK+bsKLlxK8OpzAI8HPpl7mv3zxMP3RaNn33OWvstms05DVbsJq14F0W4oej2dZ+1AvtIuc2sztLLWtjUiIW8RXR7Qa8RV0k1dG0pyb1tid05jNFPjPL46RyBU5uC3ETKZUfzGvlYjDcllkBjisU6uaiWlC3jQ5P5PDK0v82yfPsS2sEPNLzFlgavMd3ed/K1JqxSNQkin39gQQBBiMq4S9pWLOBd3CxEIRRLzS5YT3St+eKEBK1UmpBl65NDm7LadqVVU882QmCKCWmUultVcG19hwlxIbzVzuuFANduaDvduSJBLzCgx0+kgXDKbTRQqGiVDQOTWU5sbtYRIFjaJhMTKnUhR0JjJFBCxEwC+XCpEnVQNZgAuzKoPxMUKKhL6KlkTufTo3neM/nRgiXdDRFinVZqNolh5cJlIF/tvLY/zae3aXr3OR8lemaZLP58lms2SzWafXnKZpTgNWRVEoFotkMpm6SafVsEV8K0e1BPaNjC3iqyNaifhyRYOHnjzLUDxPNqvyd8OvMZIolAoNCwJvTWSwLItswcArlWS/WiOvNbnaiwVBwDAMVK1kiRXnS53IooDhskpKhZDhmh6F4bRFV8iLZVlMpgoUdJOQT4JCSUJ98Nad9IQV/u0Pz1I0St0N4rnLplxetxhNlqwUYxlRiZ0+gaIpkC2WpFxpPthkfg9q7huUgns0w8QwYTZf29YTcOURzi+TBIuuoMK7dsV4dSRJPKvh98pglqrcTCRV/IrMtduCXNUT4NRgoRTtKYIgiZiWRa5oEFEkZEkgUzDQ5y1ISQRzTdX3LM7N5MvSQZZCTgd0ne+fHuVj1/XRF/Et+Rso5bjaVl4ldF0nm82STCYxDIPz589XlU5t+XS50mk1NMviawZJtIrFtxGxKYmvUeTUSnl8Pz07y8XZHNmCwWTGIp/MIgARv4xhWiRVnYBHwrAsfLKIaZloxtJP/dWgGyVBTqQk5Vn6vKxXTWI1S8EcumEST6uMpQpkixaSUCKJD+3y8MmrZCxzFJLwL64TeHoY3po1HHoSKJHoYmOtPAtx1cIjXLYelxtoAyUyr9UiCJcc7CwXQJFL6Qp2KsH/eG2SZF6rqk7mCjqvjKQIKRJ5fT4YxipZ4AKlXEZ7A6Iwb00KArs7/VyYru6XWwqCMN/xvng5mnQlmEwV+NKfv8z3v3wLfu/a+rTZLcYURWF6epobbrgBWCidTk9Pk81my6RTty9xOdJpu/n4tohvddiUxNcoNNvi04wSWfk9YtlFOZfTeHM8zUSqSEEznEhIwyrlk9koaCZhn0xnQKZPEjg/k69Z19EOiNBNE7Ui8dx0vRe1yyZItXWZwBtTBZJF0EzNWbcsCQQUD2fTMqngLt6czDKTKfLWeAZVF0m48v9We4SX05+uGhazeBVJJOSVSKqlZHHNLPWys5PzZ7I6YZ9E0CvVdMmZVkl61Uz9clqGhWMtd4e8ZAq681kUSsLs0Gx+RcfCzuk7tCPMVLpIQTfJFVVHlq2E7ac0KqxYAebLwGmcmcpww85olV+vDu7reK3SabWo03bz8TUzuKXatjYqGW5K4mvUyWoW8eWKBsdPjvCPv5jGK4tc2x/iPVd28vMLc2QLOhdm82iGyWy2iCKV0giqTd6GBam8TkErNcXxSrUjLy0gWzCWbERaNCHiFcgUrZq+sJmK2sw+j4hHKvn4ZMnk//vJIH6vxOBsHlkSKGirt6IrJ2zbWqwHLMDvFZnLa5gWRP0ShSpdINLq4qGi9r8M83JHd5uMAh6Rf3X7bt6ayPLi4BwRn8w/ffd2/uPPBknk9ZqrtffblkT39QT4l7dfwfv3dlI0LB547GW2RRRm5qvXVINHEvjf7t7Hf/jpRRL5yxVsSteChiLLeOrYmXYl985ypNNsNksqlSqLOrXb6cRisbpIp7WwZfG1NjYt8TXCWSuKYsOlztlskX/9+Bv8YjKLOH8hnp/O8sM3p9nfG+TsVAbNsOgNefBJAjndWlTGMin5y5gPplgqR6xWlKcbqaKFVywRWkiRyRb1mgnSggC6USrdJcy31Nnd6SfgkZDEUt1M3bQWbFOEmpaKKJSiMrUqXRXszx7xcmL7gjEtsX9uzOV05/uLtT5KLxVqOg/7WyLgkQV2xHz84NUpruj281+/+G6eH0zw929NM5PVarZPwjX+kuwqki2anJnM0BP00h3ysjPmZyJd4Jr+EOenc6QKBl1BDz1BLzndpDekEPbJ/MULQ+SLVci8YJIuFPnKX7zCF9+zm88fGUCsUU91JajH5GpLp9EqUaenT5+mq6sL0zTrIp1WQ7NC/5udx7cV3LLBYReqrncfqXp3QtA0DU3TSOYKPH02Tipf5ORQhrfGS521LS6TWkE3GJtNkSuWLLmhxOVmpe6IyMVgu5KqkYrgWracW61ogseChFoKnqkGgcvpE5pp0Rn0ElYkPFKpRZEsCqia6chtMO/jskqk6pXFUjuh+YowtiTXEfDQ4ZdLgTMZDUUS6A17Cfs8JHIaF2fzCFhOyyF5vsCnIEB3wINlCSTUIvllaqPL+dZix1+RFqZgmEBXwMP+3iCCIDA4m+f4yWF+ei5OxFcqG7ec7ZZKmJnsjCl855khvv2zSwgIbI96GU0UMC2IBWTuPdSHRxK5dnuE+27s53N/+hKnh+ZqPhzYmEwX+X//8RxDc3n+zcevXsaIaqPRaokgCIiiSEdHB4FAoOx/1aTTbDaLruvIsryAEJeKOm1Hi6+dsEV8dUQt4jNN0yGxpV7u38uyjCHI/MeXc8zkS9GYF+aKYJWX6LIn1al8bX+U31siiaXC3wWhJHH1BL2MJQtlsmDQK6Lq5ooCQ0zTIl3DcSiJEAt4+cy7t3F1f5hr+8O8OJjgT34+hGFJ9IS8jKcKBBWBZE7HnA/sCCoS/RGFf/G+AdIFne+eGEY3TXyyxM17oiRzGr/xgT3s77vcFfqVkSR//vwIF2Zy7OrwMdDpYy6nM5kqkFWLhPwefu3ILlKqzk/PxcnrBoaps0hp0TXBnSJhWDg5k26MpYokzswiSwJ+j8SZqSyGadYMtqkFzYTnB0vtnjzzcvaQ3ReKktX65JuTdId8nDgf5+XhZEk5WOZ51k2Lvzw1yv/50f3I0tqsgvWq3LJa6bQy6jQYDDbNEmu2/LgldW5wrKU1kWEYNUkrnU6Ty+VIpVJl6xcEAY/Hs+AVCATKPsuyjCSVR8j99OwsGXOQXV2lBqvn48Wq8p2dKF4LuaLp+LhEASI+ibn8wlldpBS40BNWMC0LVTdLvxVKOXWiILCcZjeiAHu7A8SzGpppohsWqYKOHfuiSHBNf5g/vOcAOzsuP31/5JoevLLI02dnCXgk7rtxG91BD2ens1ycVZnLFdnd6efQjgi7OvxohsnPLyToCpQKL8dzGumCvkB2vH57hO1RH6eHUxR0k6mMxsFtIToCHj69u8AtN16HoiiMJPKcHEzMHycBj2ih12hEuxJUO2cesZQ7aFb0CXSjqJuoWslP2BmQSKvLs/QqYVvMxYoIG/uhKa9Z+LwSogAnL8QxVvJ0Q2kSXvMxatGIy8Wk00KhQDabJZfLMT09zeDgIMlkkvHxccbGxhZUsalnwn67+d2aiU1LfMVikXQ6jSzLS1phuq47F5koilVJLBQKIUkSHo+HvXv3IstyXTTxUmHn0sXtkcSak4tHFtCXSEL2ygKSICCKApIoIonGAuvNK4t0Bjx89f0DfOvHF9nl9zCRKpArGhimScgnM5EsLJn60OH3kC0aBH0ynzu8ne+9MEo04Cl1dtA0Pn9TD595zz48FRaCIAjccaCbOw50ly3vCikcuaLKfksiB7cFeWs8zaV4qWKMYVo88doEe3sCdAW9ADx3cY63JzNOHc/JVAGPBN1BpSwqdmfMz7+79wBPvjnNk29NoZtwKZ4rdWuwLFZQn7oqBEpWtWnN1+2URIpa7e4MNheUSL0+/fXK1u96vzCdwbZFe0MKY6lCrZ8twN0HexecyxWPZYMVkHZHnXZ1dTnLz5w5QywWIxAIOKkY8Xh8TdJprX3ZIr7VYc3E9/DDD/Pwww8DkEwm2bNnDz/5yU/WtM54PM7999/P4OAge/bs4fHHH6ejo6PsO6+88gpf/epXSaVSSJLE17/+de6///6q6zMMg0996lPMzMyQyWQYGhriox/9KIcOHeJ3fud3FpCY3+9fYIkt5wKbm5ujUCjg9XrXtP9uXL89jCKLJPNaqZHqfNdueziXLRMBxStQMKyyp3q3b0kE9nQFMMxSu583xtIgwFxWQ5IETNPiii4/BcPi4LYwPSEvk+kCIUXCKwt87Jpe/v7tGbZHYCpbdPLUPn5tD89fSjCT0egOevnszdvRzVL+2fv2drC3J8jeniB//9Y0kihwuNtkf19ozROljftv2sHRH7yNOp+ecc22EHnN4MVLCT56TS8Aw3NqibgMi7xmYFlwftrkq+/bg5weKlvftoiPL9y2i8/dsoPZ+QLef/DkebJFAy/mmsjPJj0o5T8aprFo5TG3Td5oe6ikSJe2MpYq1PRLioAglq4XC/B7JL75yesaPLr6oJkJ7KFQiFAotOD/ldLp+Pg4+Xy+pnSqKErVMW8R3+qxZuL7yle+wle+8hU0TeOOO+7gt3/7t9c8qGPHjnHnnXdy9OhRjh07xrFjx/jGN75R9p1AIMD3vvc99u3bx9jYGDfddBMf+chHiMViC9YnSRLf+ta36O7uJhgMct999/HQQw8xMDCw5rG60Yh0hm0RH//ml/bxvedHSKk6d+zv4umzs4hCqSGoIotc0x/ijbF0qcKJLNIbkhmZ77AgiQKWaWEJsLPDh88jki1YfOHILv7m1QleHUmSVg0sLDoDHoqGxXX9YWIBD//u3qv5wasTTGeK3Lgryp37u7h+e5hv/fgiO+VSAMrRD1/Fu3Ytncd1aEeEQzsiAAwPD9f1OJ2ZyjCdKZIp6IgCzGQLhBTZqQ8K0B/xMjirEvPJRHwyuYJOSJEJKhKkq6/XI4lsi/jYFvFx6xWd/PTsLJYFqm5w/OQow3P55ZbLdOCWNF08s27wyQJRn8xkZqH0X21oPhEESaKoG8iigNcj8sXbduOV6/MQsxm6MyxHOrUT9gcHB1FVFUEQFliIhmGse6TlRiXeukmdv/mbv8kdd9zBJz7xiTWv64knnuDpp58G4MEHH+T2229fQHz79+93/t6+fTu9vb1MT09XJT6APXv2OH+vxce3GBqVx7evN8i//cQBoOQP+sY/nOfE+TiyVJIlj374Kk5dSvDYyRGCSqnr+AFfqUJLpqCjF4vs6Y2izacN/MYHdvPugSgH+0P84NUJTg8nOTuVwyMJHNoR4V/fvgeAqN/Dg0d2lY3l1is6+NMHwsRzGl1BL4E1Vu1YK34xkeY//PQSg/O5i5mCTqagsyPm45+/b7fzvffu7SSkSOQ0A1EQ6A4pdAY9pTZLyzhvIUWeb8Rawidv7GcmU+Tv357mb1+fIFUwCXkE5vI6adVArQhACXhKNUqzq82ibxgsMstMtQBQTfCJJT+jIMCv3TbAb3ywiga9mpFs8u4MtaRTKAXI5XK5Mul0dnaWVCqF1+td4EtsZK3TdkBdiO+xxx7j0qVLfPvb367H6picnKS/vx+A/v5+pqYWb375wgsvUCwW2bt377LWL8syur6MAo8rRDMS2EVB4OiH93Jxdjv5osFAp5+wT2agw0fQK/Gzc3ECisQ/u2k7O2M+hudUzrz9Bh/7wKEFN6PfI/GZwzv4zOEdKxpDUJEJKqu/dOp5nE5ciPPWeBrdKAXgGBYUDJOOgBcBuDibY2fMh0cS+afv6ufHZ2boCHiAUo7gld0BxlOr24eesMIDt+zkgVt2AqUJ742xNOMplW1hBa8s8F9eHCOvm9y6p4PvnhgkW+cHLnd1ldVA1WGlKf2F+QLfRcPilZFkXfL3bKy3Ndaq26gmnb7yyivs27cPr9frEGKldOrz+RZUsaklnW4mrJn4XnrpJb75zW/yzDPPrOgJ46677mJiYmLB8oceemhF2x8fH+dXf/VXOX78+LK37/V6N5TFV207V3YHFiz76LW9fPTa3rLl+3qDJC6JbXuhn53OoduBNtZ8qS8TJtMF/ujpQQRgR1Thwwd72N8XJFs0uDibI+KT+Wc3bac3rDBep7EIgsD1OyJcPy/pAvw/n7j898hcnkefG6nT1kqwKCXrm1bzVFN3LuepwUT91tvC1lirbcO9HY/HsyzpdGpqilwuV1U6ta3EZreJWi+smfi+/e1vE4/H+dCHPgTA4cOHeeSRR5b83Y9+9KOa/+vr62N8fJz+/n7Gx8fp7e2t+r1UKsXHP/5x/uAP/oAjR44se8wbTepsN9TzOHUHPJhcTgewKNUwDXpE+iNeBASeH0zwwqUEO2J+AB64eQfvHqhffcnl4l/efgUxn8R/+NkQ6ryJJgEeqRTEYpqrs9yKJvikUnPelNqgxEOgN+RhKqOVFTCo59XeLsEarVKkeqXSaWXUqVs6bbd5bc3E92d/9mf1GEcZ7rnnHo4fP87Ro0c5fvw4995774LvFItF7rvvPj7/+c/zqU99akXr93g8G1bqbBfU6zhdvyOC79XJeUuv5HsKekS6wyU5J63qJPIavRGF/qiCqhn81ekxbtgZQZqX6Jp13mRR4Avv2c2Dtw0wl9P4u9cn+bs3JhEFgV++YRt/+8Ykb48vP3HcDdWAgtE40gOYmg+AsY+UJArcsqej9g9aEO1o8a0Gi0Wdapq2QDrNZrM8++yzC6TTSCSyIa3ElszjO3r0KJ/+9Kd59NFHGRgY4Pvf/z4Ap06d4uGHH+aRRx7h8ccf52c/+xmzs7M89thjQMnXeOONNy65/o3s42sH1PM4vXtnhAO9ASZTpcT+/qiCCPNVaiy0+U7wHf7SzanIInM5nYJurltgjiAIdAa9fP7ILj7vCh66ZU8HX/nPp5jIrs6SataVJ4sCPo/IwW1hjt13TV3X3Q6ktBGIbzFUSqeWZXHy5EmOHDmyQDrNZDJlgYYbBS1JfF1dXTz11FMLlrtl1AceeIAHHnhgVevfkjrXH/U6Tj1hhU/e2M/PzsUR5xvkfeyaXiYzBU5eTFDUTXpDXiJ+GdOymE4X2dXhw+9pvYi3K7sDPPS+IG9r3fzl6UlGEqWWQbJYan9UqrajU1hGt/RGQsDimd/5QN0fHJp177RDygQ0j2DtEmzVpNONGjnaksTXaDSK+JrRnaEdUM+bVRAE/sn1fRzYFiaZ1+gJednTVQr8+Sfz6QeTKZU/f2GUdyYyyJKIEc/z9b99hw/u6+Luq7tb6oFFlkQ+e+MOPn/bbkbm8nznmUuMJlT29wb5zOHt/PZ/e5uLs7lFy9M1GppZsvrqjY1WuWWxbbRTP77F9mej+mS3iK+OaKUJtNVR79JR+3sXFhe2LZLtMT8hn4xhwcWpLAGPxPU7w/zd65MEvRLND3NZHnZ2+PnDe8o7HjzyuUN89S9f5xeT2bJC182EV4INOt8B7SGnNnM7jWjhtt5or71ZJraCW9YXzX5KPD2U4OJMDkkQCCoSoigwFM8T8cm8NJTE3EDnrDvk5a++9G5uuyKGLK5P4Zd7D/XXrdycG+0U1dkMtGsXiGZgy+KrI1qZ+Frt4m3kcbK7z8uiSFfQQ0o1kMRSh3nTAkUWyBYNfn4hjqqb/I1gcd/UCP/yjqsaIuGtBJZloaqq0y1c07QF75qm8aWrTPb7JP76jEG2RjDnYs16V4v+APwvR7rIZrMEAoGWuqZaBe1m8bXa3FEPbEri22xRnfa4WuXibcQ4ZjJF/sdrEwzPqYwkVGJ+GUkUuHl3jOt3hDEt6Ap6mUgXmEoXyBVKxaH9XhFRhP/++jT9HQHuv2llVWwWg2VZZW2sisViGXm5Cc3+fj6f5/z58yiKgsfjwev1oigK4XDY+ezxeBBFkVtvgdizQ/zXU6NOqgGUEtotq7wgdj0gAL/1LolMOs3EfHUQgGAw6ITGr6VcVitdo2tBM/djS+pcHTYl8W1Gi6+VUO/jVNBNHjs5Ql4zGErkGZnLUzR83LgzwsnBOfb1Bvnczdv5wauT+GSx1DnCKk3khgk50yKkCLx4Kbko8bmJrJY1Zr/b+ydJkkNW9rvP5yMcDjufbSIDePnll7n22muR5eXdmp+7ZQfZgs4LQ0kmkipzeR1FFtENE8OyMOetwXocbVGEzoCHffv2OcvsROhMJkM6nWZ8fJxcLgeUCsnbhBgKhTZN/ch2IXAb7bY/sImJbzNafO2K6UyBdEHDsuDcVLbUW24mx55OP7IoMpZU2d8b4teO7ODf/+QiCVXHNItohoVplhiwaBj4BZ2xsbGq0qJ9/GRZLiMxr9dbRmRer7duvRiXA79H4jfvuBLdtEjkivyrx98irWpMZ4uoRVd7KqEkfRrzXdi1VZSIMUx4fcbg/a5ltRKh3YSYzWaZnJwkm82Wxuz3lxFiMBhEFMW2mWDbZT9sNCt6tJnYlMRnF3WtN1r1Ym814qv3eBRJJF80uTibI+CVyBZ0TNPizdEEXX6J/3E6jWla5Is6oykdw4KQDHM66JaFCMSC8Et7fZimid/vJxqNOsTWTCJbLWSx1HHiW588yPeeH+EvT42V/d+yoDssM5XWV0V6Nv72gs5ncxqxwOLVOhYjxHw+TyaTIZPJOPUj3ZPr2NgY4XCYQCCAJK1v94/VoN2Ir1lBNM3EpiS+RkmdrYpWI77lwrIsdF1fUlrUdZ1AsUg8ZZQCWIxSn7mkqtMXlJElkWDAw9vTedK6iSiAzyPREbTQDIub+iS+9uGrGeit3tJqI6E/6uOT7+rn8dPj+Oe7NuiGhQl0BX2EvQbnZvOrXv9g0uJzf3qKv/7nt+BfRQK7KIpOuau+vsttnizLYnR0lOnpaVRVZWZmhmw26zyIVFqIrUyI7UZ8W3l8bYJGSZ1bWBw2kRUKBfL5PNPT01UDPnRdd24220fm9ocFAgGi0WjZsiuuLjL35Dl8HgG/LHJhJkcibzCWNekKygzPFBBFid6wgmlZFHSTG3dG+cxN21HSI3QFN169wVoIKTIeqeTn80gikmiiG/DP3zfAv//xRbZHvIzPl3hbCUQBZAEGZ3OcvBjnQwd66jZmQRBQFIVQKMSVV17pLLcDfmzJdHZ2lkwm47TcqSTE5fpGG4l2JL5WVzxWivW/StYBm434GmXx2US2VKCHm8hkWcY0TedJ3m6i6faZybK84omjI+hlX2+A//nmFHO5Uif2kCKTzxuMJgpIIuzo8GNhcf32EOPJIh5J5ORgggM+k/q0Um0NbIsofObwdv7zC6MUDRPLtOgIejn2D+dI5HQiPglJFNCXCPkUgZt2Rzl1KYksAkKph6FlWZw4O8v7r+pCrmM+X7Vr1G6fEwgEFnxXVVVHMh0aGiKbzWIYhkOI7mjTZhJiuxHfltTZJmhUOkOrYrnEZ1lW1VD7ynB8w9UFQJblMstrOUQ2OztLIpHgiivqRzcnL84xlijQGfQyk9HIaCbZgkE04MHnEclpBjPpAtfviJDM64wkVbZHFUaTKq9dzLF3d4Erggurv2xU/Ovb9/DevZ28M5Hiv782xcWZHAKgmRZTGROJy01sRUFAq0KCkliqHnN6KDnfMcJylmcKGm9PpLl+x/rUvREEAb/fj9/vp6fnsuVp96CzCXFkZIRMJoNhGCiKgqqqjIyMOMTYqM4C7UQU7UbksEmJb7P4+GwiMwyDRCKBIAg1fWT2he0mMvs9FAqVfV6NRdZonJ/JUdRN0mopeGW+XjX5go7HI3Ljjgi6aRL0yrw2muJgX5CcZjCZKpLI6Dx/KckV2zrXezfqBkEQODwQZV9PgG//bAhJoKzdkUmprZBXFjBM8AiUBb1IgG7CD1+fIKxIJOb7/HmEUiuoS/E8b4yl2NURWDLQZbmoxwTrLqTc3d1dtu5CocALL7yAruuMjo6SyWTQdR2v11smmdrX+1r2o52wZfG1CTYq8dlEthxp0b5QPR4P+XyeeDyO3+93iMxtpTWbyBohvcYCHtIFHQEBr1QKvbcs0C3wCSJhn8xXP7CbkCLz3RNDjCbyjCZVFFkkb1g8+Ys5bj+4nW0Rpa7jWm8oslg6DuZ8s975/EWfLKCbpcCXqN9DSJEZS6oU9VJPQ7P0VQoG6OZlC9+w4FI8R0GzeHFwjtmsxocP9rK/b2Fft9WgUdehTYiyLLNnzx5nuWVZFItFx0IcHx8nnU47hOiWS+37Zj33Yz2w5eNrE7SKj880zWX7yKB0M7klRfvdnQzt9XqRJKnsxnvjjTfYvXv3Aj/JeqLexPfBqzo5PZTkUjyPZUHEJwMWsiTS4ffw6+/Zxf7e0uT8yRu38b//4O3SxK5bRLwifo/ELyYybUd8Po/ERw5284PXJplPWUQUStGfnUEPhmkxndGQRIHP3byDx54bLsmf4uVcP3f2gwnMZnUCHpFc0aAz6OWpX0yzpyuAV17b5LgelpIdVKMoyoIu5W5CnJiYIJPJoGma8/Do9iMqSntdN25sSZ1tgkZZfHbQRiaTWZTMbB+ZTWSVPjK7q3EtItvoaMS+RP0ejn54L0++Nc0PXptkKqXSFfKyK+bnc7fs4Nr+sPPd63dEODwQYzShEvbJeLQMecHCI7XPMXbjNELzUwAAIABJREFU//74fnTD5H++NY1HFtkRVdBNeO/eTj5/eBu6IBPxK3z76QuEfDK6YSEIoC3S0V0QLM5NZbn1ik5My6Kom2smvtJ6W+cceL1eOjs76ewsl8CLxSLZbNbJQ7xw4QLFYhFZlgmFQhSLRWZnZx0LsZX2aTXYsvjaBMslPtM0l1Vn0U1kqqoyNDRURmi2xGh/bjaRtWIeXyPG4/NI/PIN2/jlG7YxnlTJFAy6gh46gyV56hcTaf7+7Rk0w+TqviDpgo4kCMypFv2dHg7tiNR9TK0AQRD4g3uu5t27Y/yXF8cwTIsP7uvkV2/ZiWAZhBQZURToiyh0Br3MZQukCrVJD0pSsm5aPH1mmuu3Rxmey9MR8NAXUVZ9bbfaNVoLdnpNR0dH2XJN08hkMkxPTzM1NcXFixcpFArIsrxAMlWU1R8naO6xWszHt1FJfVMRX7FYZHp6mosXLzI7O8t3v/tdDh8+TDQaLSMzm8hEUawqLdph+G6LzMaLL77INddcs167WBWtRnzNuFn6o76yz5fief7s5ChYJtMZjVNDCfb1hpjJFLCwuHt/jLCvfW8HQRD45I393HfDNiyrFNgCoGkGw/E8f/TTi5ybzJIrljq8K7KILAqomlk17cHnESkaJmcmM8ymi7w9kWZ/X4ibd3fwoQPdqz7HG3UihdIDdUdHB16vl4MHDzrLdV13JNOZmRkGBwcpFApIkrQg7cLn8y37GDTrWG1JnU1EPB7n/vvvZ3BwkD179vD4448veMKykUqlOHjwIPfddx/f/va3q37nT/7kT3j00Ufp6elBFEVmZ2cZHx9HEISyZOhKImsHtCLxNWI8hmnxxmiKwbk826M+bt59uRLLLybSJPNFhudUvLJIWtUZnJ3mg1d1kddF/vr1GXb2xNjb0z4pDdUgCgK45rCz01l+46/eJlUo5T7KooAF7Iz66A4pjMzlGE0WECilMRgmeCWBkOIhU9AoaiazVpFMUSfqk3ljLMWBbSF2xPwrHlsrXaP1hCzLxGIxYrHyykC6rjuSaTweZ2hoCFVVy8q92cTo9/vLyKeZZLQldTYRx44d48477+To0aMcO3aMY8eO8Y1vfKPqd3/v936PD37wg4uu78tf/jJf/vKXgVKwxx/+4R/y+7//+3UfN7TmE1K7Tio2LMviv54a5YnXJtENC90yuX1fN799RylX8O2JDK+PprEoRToapoksiSRVnQ6vSEEQeG003fbEV4lHnxshXdBRJBFBENBME48EOc0grWrMZEsuAVkUCCkSalFH8ZaOn2mBAYhS6UHmnckM22N+VHfexArRavdNIyHLMtFolGi0PBfSJsRsNks8Hmd4eJh8Pu+UewuFQvj9fkzTbMpcs5XO0EQ88cQTPP300wA8+OCD3H777VWJ76WXXmJycpKPfvSjnDp1alnrbmQ6Q6v1voPWm0waYfFNpgv8/dvTeGWBsE9iMlngb14eRzdMPnKwh0vxPD6PSF4zUXUTw7CI+kqWvUDJX6V42uupdjmYy+lI81aeQOkBQpFkPnBVF0++OYUiCwQVD9mCTq5o0OMXOHJVD2enswzPqfh8EgXdAFHAI4mouknnKsu/tfvD2XJRixANw3AsxGQyST6f5+c//zmCICzwIdazSfCWxddETE5O0t/fD0B/fz9TU1MLvmOaJl/72tf48z//c5566qllr7uR6QytJitCa46p3tBNC1UzCfskxpMFdMNCFGAonufxl8fxSCK37ung1FDCITpJEhCAqaxJT0ziyJ6NX6R6pbh5IMKluEpK1dEpWXF7e4J86T27eX00RSzgxQJyBZ1EXuMzV1mInRH6Y35++MYkuWKpoW9AFokFPHz4YA8dgeXlulWi0Q+MG/0ekCSJSCRCJBKhu7ubdDrNzTffjGmaDiGmUinGxsYWNAm231fTE9E0zYZVuFkvrCvx3XXXXUxMTCxY/tBDDy3r99/5znf42Mc+xq5du1a03WZYfK2EVhtTI8bTE1LoCXkZSagU9FI4vs8rsavTz2ymiKqb7O70854rOzkzlSHm9/Dr793FXE5nfGyED16z3Yn+3Ex44ObtaJbIP7w9jW5a3HV1N791576SBSgKFHQDRZbwyiJ+j0h/CPp3RnnxUpwjV3bwynCS3V1+3rUrxqEdUQ7vru6HbwW0mhKzFritMFEUCYfDhMPhsu/YhGiT4sTExKqaBLfTcbOxrsT3ox/9qOb/+vr6GB8fp7+/n/HxcXp7exd857nnnuOZZ57hO9/5jpM7FwqFOHbs2KLb3SK+9oMii/xfH72Kh548x2tjKYJemRt2RggpMm+NZxCw+PE7OXbEfLxrZ5Rfu20X3aES0b3DLBFfewU0LReKLPK/3nElX7t734LJ7bfu2Mu3njqPqpmYlsWDR3bRqY9xaGeEWEBmKl3kY9duIxbwEPDKbIsoqLpJPFvEIwn0hBREcWUTZqMn2HaZwJdDRosRot0kuJIQq7WA2iK+JuKee+7h+PHjHD16lOPHj3Pvvfcu+M5f/MVfOH8/9thjnDp1aknSg5KGbiySnLsWiKKIaa7eud8ItBrxNWo822N+/vj+6/iHt6d55lwc04JnzsURBbjtyg7yBYOJdIF7D/XRHfJyYSbHU+/MMD6Z4XYjw/sjkba7wZeLavv9/n3d7O8LM55U6Q556QvJvPzyGIIgsLsryO6u8kCgeLbIk29NUtRNTBOu7A7wgX3dyya/Rl+j7TSBr2VfVtIkOJvNoqoqgUCAdDpdJp1u5MIaLUt8R48e5dOf/jSPPvooAwMDfP/73wfg1KlTPPzwwzzyyCOrXvdms/g2E0RB4KPX9BJWZB4/PU5W1ZEkgbNTWQ70hQgWdMZTBQKKxH985hKKLJLJG3z/tWkCwSCHd28+P99i6Iso9M2XcVvqnjl5MY4kCGyL+LAsi/MzWfb2BNnVubxSeVs+vuWjEceqVpPgd955x+m4Yuci2k2Cb7vtNvz+laeurDdalvi6urqqBqwcPny4Kul94Qtf4Atf+MKy1r3ZiK/VxtSM8ZwcTOCVBLJFA1U3mctpdARkdNMi6JX4x7dnSKsaXV0B8IpYssxzF+c2BfG5+yjmcjkMwyCyDGt3qck2o+oEvBIF3SSRKzKXLZLI66zMA99YbFQLpRLNTjGwu124XU6WZS27aHeroWWJr5HYIr72hmlZDMXzvDA4hzovuwE8e2GOz9y0gxcvJTl5cY6JVIHZrMbukIUkWXVtqtpsuDt3uMvrFQqFsvJ6Nuz2U5IkMTk5iaqqCIJAOBwmFAoRiURW1I0ASr37XhtNMZ7Mk1V1UgWdjmCcK7oDhJSlp5pGh81vSZ2rg2maVc+LIAgb9nhuSuJrpI+vFUmm1cbU6PGomsn56QzZooksgn1vGobFrpiPp96ZocMvMxjPk0qopLImV2/zcvfV3YuvuMmoRmaVL03Tyrrb23Uk7VcgEHD+9ng8CyawYrHotOsxDINMJkM6nWZycpJz586haZrT0dzv96Pres2J8PDuDt4aTzOVLpAp6HSHvLw4mEDTDT5xw3a2R5dfjqsRaMY90Kz7rNmVWzYqwdXCpiS+Rp7EViMZaM0xNXI8IwkVRZYQhVJPObsupVcSSeQ1kqrOZKpAT8hLKq+R10w+frCTq5pQtWUpMkun05w+fRoo797hJi/bErM/1+t6liRpQeK03cA1nU4zNzeHqqqcPHnSSZq2owbD4TCKonB1X4gLs1l2xnzEczrJfJ7nLswhiSK3XtHJoZ21O7Y3w8fX6Am8WSSxVbJsbdiUxNdItCLJtBoafcPKooDfIyKJAoZpYVHK69vZ6eea7RH+6vQ4kiii6gaqYeKTBMZT6qq3ZzczrSUz2l3ubVSSmd0B3Ov1ks/nOXToUMskDLs7mkciEVKpFIcPH3bab6XTaWZmZrh48WKpHU9BZHzKoCfiYyJdygHsDilEAx5eH0tx9bZwXdoXrQbtRnzNIqOtkmVbWBKtSHytOKZGjifik0rVRLyi010gonj43bv3sr83yKEdYX58ZpaiZhLxyRimyclLGf7ZERNlflK2W1ItJjPquu5MdO4i55VkthLLTBTFDTHJiKLoVBFxQ1VVhvTzvDORQlUL+L0mmQTMjOfQBC+TU156OqNV2/K0g6TWrhbfRj8vldgivjqjFUmm1cbU6JsontM50Bdib0+AmYxGSJHweySu6PJTLBa552CMH709jYVFMq8Rki3UfJannnuZbuVyb8VKq0xRFCKRiPNZluW2mxAWw3ImQJ/PxwPv28dP3pnhpUsJiobBNf1hLF2nz2uSSyd4c3wEVVWRZblMKm10/ms7WXzNtMIW26eNev1vEV+d0WokA603pnqOxzTNBZZYfDZHIplALepMZU0mLIseP7z2ShqPx8PLk6Wgl5BXRBQFNN0A2cuBA/u4sie8YW/mVkFHwMs9h7bxvqu6eGciRVo16A0rHNoZLZM5NU0jnU6TTqcZGRlhZmYGKNXpdRNiZUue1aKdiK8Vojo3MraIr84QBGGrcssaUY3MqsmMUJLcKmXGPT0heiJFnhtKE/IrWJZAKKrQc+WV7O70c+KngxzslxhLFZFFKOgqYcXL7u4t0qsXZEmkN6zQG+6p+R2Px0NnZyednZ0AXLhwAb/fTyQSIZ1Ok0qlGB0dJZ/PI0lSGRmGw2FkeeXT1xbxtfa2moUt4qszRFHcUCTTLBiG4QR9ZLNZ8vk8g4ODi5JZZVh+LBZzPi9VLqk3VuBWSWYonmciVeCNcY1Hf36J3//YfjqDHrpCXrpCCqm8htfSuXt/FHmFdSU3G5oVdWlXD9m2bZvzP13XHetwfHycM2fOoOs6fr/fIUK7lFatMTYrnWGL+Fofm5b4GnUTtKJ11bCO5/NkttjLzpd0k5nd4X6lZLYSRP0e3pzIMDSnYpgWBd3kJ+/Mkiv+gvtv6mdwNk9qvtLItb1eDu8KL73SNsVGmNRkWaajo4OOjsvdHyzLQlVVhxDtYsuCIBAKhcqsQ6/X27QJvN2Ib7EE9o2KTUt8jUKrEt9y5deVkpmiKGVSYzAYpKOjoywApBKappHJZKp23KgXPrS/i799vdQvziMJaIYJlsWLl0qlzO67cRthxYMoChhzY0405xbWDyudzAVBwO/34/f7y64ldyL+1NQU58+fp1gsOhWbxsbGCIfDBIPBuvuutiy+jYFNS3yNOpGtSHx2EnIymVyUzARBqCozusPy3RZbK6MnrPChfZ389SsTFHUT3SgRv6WZzGQLfO/kKDtiPmIBDzdEDHpb7Jy1IpoxAdZj/bUS8WdnZ7lw4QKqqjI9PU02mwWoah2udhztmMe3lcDeRhBFEcMw6j6JN4P4LMtalmVmW3mGYSCKIrqutwSZNevh4FfetZ2nz8V5ZzKLYc6nKIgCr4xk6Al62NsTYDZb5L+PZfiNnk66Gj6iLSyGRl4TdnqK3+/nyiuvdJbbzVrT6TSzs7MMDg5SKBSce8TtP1zOPdKOJcu2EtjbCLbs0SrEt1Iyc9dltGVG+2m1kswmJiYoFosMDAzUdV9bHbGAh9/7pX38H0+8w6V4Do8kElQkZjNFRFFAlgQ6Ah6m4zCV0diz3gPeQtNLltVq1looFBy5dGhoiEwmg2VZBAKBMuvQ5yuvP7rZ8vg2KjY98fl8vrqu10187vYv7gr5lRXz7YtYkqQFMqM7Ydrj8ayKqFtNfm3meK7sDvKeK2MUdBMBUA2DsE9GkUU03cIrl7o5eKT2urEbgXbol7fc8SuKgqIodHVd1gHszuXpdJpEIsHw8PCCRHxJktoqetTGFvG1CVbbmqiSzCpfqVQKwzAYHh4GqFoxPxqNln1utH7easTXTEiiwGcO7+DN8QymBZ0BD4IAZ6ezTGUKgMDeTi/bw61RG3MLjcNa7wF35/L+/n5nuTsRf2Zmhrm5OZ599tkF1mG9EvGhPa2wZmJTE5+dN7YUmdkv+8ZxJ0vbf0ejpfqDs7OzyLLMzp0713P3ytBqxNfs8fRHffzWHVfyxGsTWBZ4JIFPvbsfAQgqMt7slNPBYQvrh43ancGdiB+LxRgeHubaa691rMNUKsXY2Bi5XA5Jkpx+h7bvcDUFyVsh4GQjE++mIT7LsvijP/ojJiYmmJyc5I033uCXfumX2LdvH1/72tdW1cusGtLp9FbllhbEddvDXNHlJ10wiPplDNPiFxMZMgUdT8GkY+lVbHq0khTZquu3yXWxRHzbdzg+Pk46nUbXdXw+X5l1GAgEFp1vtiy+taGliS8ej3P//fczODjInj17ePzxx8sSWG0MDQ3x67/+6wwPDyMIAj/84Q/Zs2dP2XcEQaC3t5eDBw/S19fH5OQkDz30EFdddVVdx7xFMktjvY5RUJEJKjIpVeeRZ4eYy2kIAqi5DL/qD9LdWn1oWxIb2cfXCr43WZaJxWLEYrGy37gT8ScnJxdNxF/OdrawOFqa+I4dO8add97J0aNHOXbsGMeOHeMb3/jGgu99/vOf5+tf/zp33303mUym5pPSZz/7WefvUCjUkDG3IvG14pjWazyJnMZ/OnGJl4eT7OkKMNDpZyiX4eeX0lx/5dK/30LjsFGlzrVuY6WJ+D6fD8MwHDJsRCJ+u6Olie+JJ57g6aefBuDBBx/k9ttvX0B8b731Frquc/fddwPLJzRZlsuag9YLoihuSZ1LYL2eVN+ZzPDdE0OMJVWKpsXF2RwFwyQkCah6a52zVkQrXUOrQasSXy3USsQvFApOrdKLFy+SyWSAy4n49nu1nodbKKGliW9yctKJnurv72dqamrBd86cOUMsFuNXfuVXuHjxInfddRfHjh1bMuzf6/WuKqpzKbQayUBrjqnZeGMszfGTw1yczSEKAsmcTn/Uy0hcZVvA5INX+dd7iBsCG90Ht9FrdQqCgM/nw+/3E41GHQvRnYgfj8e5dOkShUIBj8dTJpUuNxG/3bHuxHfXXXcxMTGxYPlDDz20rN/rus4zzzzDyy+/zMDAAPfffz+PPfYYX/rSlxb93WrTGZZCK5JMK46p2fjxmRk6gh78SYmIX8a0LHTDQhThQ1cEuX7bFvGtN9rBx9esxPJKy7JWIn6xWHR8hytJxG93rDvx/ehHP6r5v76+PsbHx+nv72d8fLxqUeOdO3fyrne9yylD9Mu//MucPHlyWcTXCKmzFUlmM13QtaDpJp0BD7GATDxbJF3QUWSRmwei7IzWryvEFtaGje7jg9bqzuD1eunq6lpxIr5tHa6m5+FGQEvv1T333MPx48c5evQox48f5957713wnZtvvpm5uTmmp6fp6enhxz/+MYcPH15y3Y3y8bUi8cHG98+sFTftjvGzs7Mc6A3y/GARLItD/WECXpkfvJ3ki+EgjesV0R7YTJVbVouNUKtzsUR8O5hmdHSUdDqNYRjk83nOnj1blmphp2xsVLQ08R09epRPf/rTPProowwMDPD9738fgFOnTvHwww/zyCOPIEkS3/zmN7nzzjuxLIubbrqJL3/5y0uue0vq3Fx4/95OFEnkjfE0KdUgFvAylFDxyCKaYTGeLlLfxJYtrBSbNaqzVbbj8XgW9Dw0DIPnnnuOSCTi5B7aifi7du0qK/i9kdDSxNfV1cVTTz21YPnhw4d55JFHnM933303r7322orWvUV8mwuSKHDblR1kCjpeWSSiSEiiyJmpLFGPibxxH14XhR1hbFmWcw1U+qE0TXM6ldjLq4XHb/RrqBXy+DbidjweD319ffT19TnLdV3f0NdDSxNfI7FFfJsTb09kCCkSg3MqiiQiS9Dvl9gVU9Z7aMuGO13GTWiV57hycrTlKdtvY5ObvQ5N08oqj9iF0yvX0Uhs9PW3Wz++Wvsjy/KGjg7d1MS3WXx8rTim9YBmmJybyZErmuyM+phKF1CLFns6fJgtcHxM03TaU1V2+agFt6/Fngjt98Wst8XGYL8bhkEul6NQKDhtegzDQNf1BduqB5oR1dlOxNdO22k2NjXxbRaLbwslzGY1OgIyuaKH2WyRnGYii3A+XuBvXo/zG319eOX6P0W75Ub7vdY1EgwGefXVVwkGg2XJyJIkIYriqsisEnbfR5vQ3C+7ILu9Da/Xi6IoTu3aaDRaJnMJgoAois5rLWNrh+CZduvHZ5pmW1aF2bTEt5miOlt1TM2GLAooksQtu6P85J1ZBjp8WJZFf0RmMqsxGM+zvze47PVVI7SlJiS3jFj5ArjmmmswTZNMJkMqlWJ6epqLFy9iWZZDgnZl/0qpyTCMMgKrJDX7QU8URaffnE1qHR0dzmePx7Os82NbqHZ3E/sYuMnQ3rdWmDy3LL7W3U6zsWmJbzNZfK04pvVAV9DDDTsjnB5OopkmliByVXcAWSiSLZoMxfPsjPnwzUe6VBIa1CZse7ntE6sktJVM/KIoEolEiEQiAE5IeSKRIJVKMTExQT6fL/PHSZKEx+MpIzRFUQgGgw65LZfQVjLOSixFhpXvbmxFdbbmdlrhoaXe2NTE1yiLb6tWZ2vCsiw+crCLKzp9xHwi52fyxPwSLw3mSeY1nnxtlNOX4jx46046g6UeaZUBIWshtErour5AZnR/tq9PSZIcIvP7/cRiMccy03XdKVWVyWScRGRZlgkGg00vUVWLDO1323dYjQzbJY+vnYivWZJqs7Fpic/r9TrFXeuJViSZdrxwbawmwnFfj5+93QM8fynJz87FkWSZ914RQDR1xqdmeOypWT5xMEokEiEajVaVFWvBDk6p5j+zya0aodkvu/WMoijIsrysc9fZ2Vl2POwSVXYSMuA0P41EIutGhqZpOuSuquqCY6OqquN/XMwyXC2a5eNrVrTlekZ1wsaeVzYt8TVK6mzWk+tK0YpjWgzV/Gfu92pYaYTjh672IUoSINAX9QEQihqIIuzZ00sqlWJ8fJwzZ85gmibBYNBpTiyKIpqmlU3chmEAJf+xLS/ahBaJRJy/K1ME6glRFBdU9LfJMJVKNYQMFyP6Wparoij4fD6i0ajz2U2QlZZhZXrFaib9LalzddvZkjrbCFvpDOsDN6HZE9tSY6tFaPWQG7dHfRR0k2xeBdNkNJnnUK+X0dFRxzqx/VbZbJZcLlcW0h8KhYhGo+zevZtIJNKST8HVyNDu9ZZKpRgZGXHUD7ssVSQSIRgMLiD35QTLKIpCKBRy/l6u5eoerw23TLqcXMOlroVmnJ92Ir4tqbPNsEV89cVKIxzD4TCnTp3C7/c7E20kEikLwFgLodmTZK0IR5vQAA744PSkBYLIwd4AH9rXRTjoL7PQqkHXdVKpFKlUikuXLpHL5ZBl2ZFII5FIS1a9N03TIS23NaqqKplMhtnZWQzDwDAMh9QCgQChUIhYLIbP51tR9OdaUC1FYrVk2CypsxloN8uy2di0xLeVzrA81CI0e721tgeLRzhed911WJZFPp8nmUwSj8cZHBzENE3C4bBjoVR2l3YTWq3AEHt8lVGOgUDACQxxE9oR4AHTwjCtFeXxybJMZ2dnmY+tWCw6ZDg2NoaqqiiK4hChTTKNgGVZNUnePkb2ROaWYe3x9fb2OhKtfa7clmEqleLChQsAZQ8roVCoqXLYSsjQ/b1isYjf729oblqzpMFm5vFtEV8bYbOnMyynhmO19dQzwlEQBAKBAIFAgG3btlEsFlFVlUQiQTweZ3h4mEKh4HxXFEVkWV4waQeDQTo7O51JezW+KkkUkMS13+Ber5fu7m66u7uByx2zU6kUiUSCoaEhisUigUDAIQ7b0q2FWmTvJjT7fFYem3A4THd3t3NsVnqOqnUBd5Ph8PAwmUwGQRAW+AybFXxRGR3rDpaxH4QEQcDj8RCNRikUCnVNvK8cTzOw5eNbG7aIr85YT+KrFeFoBx9MTk4SDocX+FwqCW0tJa8qsZgVYi+3x+metDs6Oujr63Mss3w+7wRoqKqKJEkEg0GCwSDRaLRl+4YJQqljts/nc/pJWpZFLpcjmUwyNTXF2bNn0XXdybWzA6TchFZpvbrJ3h0Y0gzUIkP7/NSLDO0Iz2oRoO6gGTuYyJZgA4FAWUJ+5TYbmXjfbhLkltTZZthIPr61Rjh6PB72799PMplkdHQUXdcdf00sFlsgJy53TDZxVSM2W1aD+lgh4XC4jDhsiXRmZoYLFy5gGIYjv0Wj0abLb5WoZYVUiwANBoOOvGj/TlVVBEEoswrXe58WgyRJzvVkw02GQ0NDZLNZhwwDgYBDSpXXj7tkWrWgGZvgVvuws1Su4UoT791oN0JazOLbyIS4qYlvvS2+ldRwdK9/NRGO7rYipmmSzWZJJBJcunSJTCaDLMuOHyoQCGCaZlXrrJafyOv1rllWWy7cEqndSNMdsj80NEQmk0GSJIcIo9FoXQJNVhu6X5nSsJxJ25YUk8mks0/uqi7RaNRpCtoKWEx2tAtvG4bB3NwciUTCSVkQRZFgMEgkEmHbtm3EYrGmV/5fym+4WOK9mwybaSFt+fhWjy3iaxBsOQXqU8NxrSRiE1nl07VNYLYUOjY25ozbltSi0Sjd3d34fL6GEtpa4A7Z37VrF1DqM5dKpUgmk4yPj6OqqpM7ZpO87VurJPpmhe4vhmqSojuS9Pz582SzWcd3ZRNiIyJJK49PpfxYKTu6A4oWkx2h3DIcHx/n7NmziKJYFkCzGlVirVgJGdqWYi6XIxaLtU1x5y2ps82wGqlzuRGOlmXx+uuvL6j80UhCqxXhaMtGgiCUWWd2JJ97WeU+2NaGTRy2nGVPxo2KTqwX7I7SwWCQrq4uVFUlm8069S7twAc7aMbv9xMIBBwpbTWFmxuNxSJJk8mkE0nq8/nKLEOv11t1fYv5YFVVXVJ2rAfhLyWT2qrEepBhZWBRNX+jLQe6FRD7obIeiffriXYh8EpsWuJzpzPUO8Lx1ltvRVVVkskk09PTnD9/3pESbeKoNRHZWKx1TKUFUulDc4fsr3bCFgTBSWbeuXMnULLFaiesAAAedklEQVSgbCIcHh6mWCwSDAadfQqHw027SdYSur9jx46yCTubzTr7lUqlyGazRCIRJ4CmVUivFmpFksbjcaampjh//jzFYtGp4SkIQpkiUXl83JJs5QNRs1CNDHVdr0qGdreKlZLhYlasXT4NFgYWuSV9RVGqHp96J96vF9rV4hOW8Cm1Vlx+HfGP//iPfPGLX+SrX/0qt956K9ddd50zwVWzyNZ6gWqaRiKRYG5ujrm5OTRNc6RDSZKcYJHFWse4P7fCZGxXM0kkEiSTSdLpdJk8Z/vVVrrO1YbuVx6vtZwr24JKpVLk8/maEul6oJYsa0/cbj+jbb3aBGYf22w2i2maZVGXK6lJ2ipwk6H90GI/tPl8Puc+cdcIdT8Uua8Z+1jZf9c7UthNhnD5QXs1ZPjzn/+c97znPXUdXzUMDw9jWRYDAwML/mdHILcwak6Qm5b4NE3j5Zdf5tVXX+XEiRO8+uqrdHR0cNttt3Hbbbdxyy23EA6Hl70+wzCcm6raZF1JaLbF557k/X4/HR0ddHR0OBbHRoNNGjYZFgoFJ3AhFArh9XprElut0P3KV7NvNsuyUFXVIcNkMolhGE65Mps01jouN+nXCuGHcivfPVmvVHa0g5xsgrdreLqjY9fDt7YYFit0rarqgia5tu9NkiQnkrmjo6NlImRrkSFcDlqrlmvYLOK7dOkSkiQ5qo8bW8TXJpicnOTZZ5/lmWee4bnnnsM0TQ4dOsT+/fvp7Owkk8lw++23A9SM4qtlhSw1GdmTayKRcPquCYLgyKO2fNmKWCp0X9M0DMNwZB87KjMcDhOLxZyn841E9G7SsK1dO8DGJg2/3++c88pjVDlpL8eKrSWr1RNu31oqlXKiY+1qOnbUbyPG4U7lqHas3EFXlVaaO8Wh2tiqWYb2frl9huutothw5xpW5uRqmsabb77pEF8jyWdwcBCPx8OOHTsW/G+L+NoQR48e5cknn3QuQPumeO9738uBAwe4/vrrOXDgQEN9ILquk0wmHTIsFovOBBSLxQiFQg29UdcSul9J+tX2y36pqkogEHD2ayNJbm7ZMZfLOZZTPp8vOz4ej4dgMOgks1ceo1beX3ckaTKZJJfL4fV6y3IMF4sktf2xtQjNVkPc11EloTXC0nfvVzqdXlcytFNBVFVd4Gt0+6ztYxQKhRgYGKhb4n0tXLx4EUVR2L59+4L/rZf/dwXYIr56QNd1Xn/9dZ555hmeffZZ3nrrLQYGBhx59N3vfndDrTI70tImwmw2i9frLQuaWY5fYi2h+6uR1JazX3YlE1t2s5O37X1rdrHnpWTHWn4i98Tt9XoxDKPMX2gXD3BH/Lb4U3NVFItF56EsmUySz+edcnL2/miatsCSrfSjtYq/2oamaWWWYS6XWzMZVhJ/JbHZD0i2xF9J+m5fZSUqg2js7a008b4Wzp8/TzAYZNu2bQv+t0V8mxSWZXHp0iWeeeYZTpw44XQbOHLkCLfddhu33nprWdh5I2BHj9pkaJqmE5Lv8XjKSM4dmr6YpNYKE5H9NG7vm6qq+P1+hwjX4gO1/bG1AkTcvsZq1tlagmcqJVK7tJc70d4tka4XbOKvZn1UXktuq9WW4myL184DtUmjVUvLLYZaZGiToN/vRxTFqqTmJv5qhFbPB0gb9STDc+fOEQ6HneIXbmwR3xYcxONxnnvuOccqzGaz3HTTTQ4Z7t69e8UXy0pD9+0KGXa3bzuJuLOzk0gksiEtDHeZMtt6AsoIQ1GURa20apJaNX9Rs2VHN8nbE6uiKGVRpEulv6wElRJ25bFyh/FXs9CWm+ZgW/L2vqXTaScoaCNEkrofkKq967peRjJ2+ovtu+7o6GgZol8tGZ49e9bp3FGJLeLbQk2oqspLL73EiRMnOHHiBIODgxw4cIDbbruNI0eO0NPTw+joKDt27EAQhKqh+4IgLBrpuJj1YU8+tkWYTqeRZdmRRmOx2LqG5i8HtVIc8vk82WzWybkyTRNZlvH5fM7k6vf7W8qSXS5sS94mjWrWU+U5X06yNSyUsCvJrZFE1AqRpO7SatV8arY1W+lzrLT+K8dYaRlms1mnP6P9aqUSc4uRoT3GCxcu0NXVtUV8W1gb/viP/5g//dM/ZXZ2lmw260RsfupTn+Laa69l3759ZQnEjZgA3P6ZRCKBYRhEIhGHDJt5cy4mO1ZaH7Uma5v43ZGx9sRqWVaZVdhKE89KYNe4jMfjTiCGZVkLCihUStiVk3Ur7ns9I0nd6kgtKw1wHpCqSY/1nNDt9B6b5O1mxW6f4Xpck+5gGvcDgDuYBkrHad++fY5f051ruNoWYE3EFvG1Cubm5vD5fPj9fmfZ2NiYk0bx/PPPIwgCt9xyC0eOHOHIkSNVHcv1hGmaZf60XC6H3+93SHk1cpQ736qaBbKU7Fgv68OeVG0yzOVyZcno693SqLKwczXro1aytV19KJ/Pk8lkHInUTfT1lEibCdt6csu/dmSsbb1XSrb2Q5Lbn1ZprdXbn7bafbPJ0L1v9SLDahGi7nf73rPJ30387uOUTqcZGRlhZGSE0dFR531sbIyZmRl+93d/l89+9rP1PDT1xhbxbSSk02mef/55J2hmZmaGG264wZFH9+/f39Cb1/anuS0ndxHoYDDolMWq9qpVKsw9Ga2X7GiP2963ZDKJZVkLur7XY2zLSbaG8sLOlRP2SoNo3In2qVTKKStn71ur+tQqLf/KCdudlA4lv6hhGA7R2z7sjUr0xWJxQQCNx+MpK8cWCAQAqpJaZWpItQjRSlJzk9nIyAhjY2OMjo4yOzvr3BO7du1ix44d7Nq1q+zV3d1d1hWmRbFFfBsZmqY5FWZOnDjBO++8wxVXXOGkUdx44411ueHdT9DVJupisej40gAnn8hdnqxVuzcsBrfFm0wmyWazTnCJHUFa6QdtZLJ1PWGXlXMn2tslvZoh/1b60yrf3dGhtaTHWpK/u6KOff40TXNyQjdaJGllCo1dUD2Xyzl+bNvfb/ux7f6E9kuSJDKZzAIrzW2p2aS2c+dO5zUwMOC89/T0lPn5NjC2iK+dYFkWFy5ccCzC06dPEwqFytIo3MV9q8mO7om6Mm+vVgi/ewIxTXNBTqGiKI48Go1GW9KyWAq2jyiVSvH/t3fmMVGd3xt/cAABV0BBYFgqAhWsFQWXpqkLKHHDkoDWpmqqRtNoosaotFZr2lpp69e0DVXTaMV9bao2qbao1eIOButOUUF2WWQVmI37+6N539+9wwwMwmzc80kIM3od3nsj97nnPc85p7q6mufT2Nw41phcnHO0RLF1V6JfWyiuB+3IFql+yYP+d/0tNUPXq6sNEuKaUCaIttCTVF/U9KM1cS2foQcAJmrV1dV49uwZqqqq0NTUhD179iA/P58bl1xdXeHp6Wk0UvPy8uouomYKJHzdncrKSqSkpODGjRt4/PgxtFot76ixbds2yQgZcxUQ67dcA8BNM6wI3ZoYMtKI37dVbM16jLLoyVDzAFt3x7aFSqWSuEhVqv96x7q6uvIoXlyELc6nGdqiZTlIW7jBsoc0sckE6DonqfgBoC1Djb6oiV8rFAq8fPkShYWFKCkp4VuP7HtFRQUEQUDv3r25oLEIzc3NDdXV1Xjy5Am0Wi02bdrUVZfO3pGn8J09exYrVqyATqfD4sWLkZycbPC4EydOICkpCZmZmYiKirLwKruOffv2oVevXvD19YWHhweKiopw48YNXL58GYWFhQgPD+fbo+Hh4WZ/6tXpdBL3qEql4mOMWMu1roiMOlpsbaw2raPXg4kFO0edTifZQjR3S7lXhW1pG7terISGXQ9WlM62SFkjdVvqbdlRxE5S9iDDitLFBhMAHRI1Q8LGRE287Sj+YqLWq1cvvvVoKFKzg5yarSE/4dPpdAgNDUV6ejqUSiWio6Nx+PBhhIeHS46rr6/H9OnToVarkZqaatfC1xYtLS24f/8+L6y/e/cufHx8uBBGRUVJnKbmQDzGqKamBg0NDXx6uLGoyVLF1l2BePuX3UzZ+VnKZalvUde/ZkDrBwD978YeRphYMLFnBgxxY+6ePW2zkboh9CO1ly9f8q1t9n+L5dRcXV3Rp0+fVv1WFQoFGhsbjUZq5eXlEAQBbm5uXND0c2okamZDfsJ37do1bNq0CX/88QcAYMuWLQCAjz/+WHLcypUrERsbi61bt2Lr1q3dVvgMUVhYyA0zmZmZUCgUvISCFdebC3bTaWhowIsXL/iNVJxLUygUkplyli627grUarXEQcp6dYqjQlOiXmM5Iv08Lbtexq5ZV99cVSqVxBjEXKRMCK01XstYf0x27Qxt1ZqSU/vuu+9QV1fHDUyurq7o27evZPuRRWkBAQHw9vYmUbMeRi+6fdidXoHi4mL4+/vz90qlEjdu3JAck52djcLCQsyYMQNbt2619BKtjr+/P+bOnYu5c+cCAGpra3H9+nVkZGRgx44dqK2txYgRI7hpJjg42OQ5b8aiNGOTrb28vHi+UZxLa2pqAgC4uLhwh6UtG0f0cXZ2hpeXF+98wTqX1NTUoKCggBdrM3cea2wtvlEbimpZLaK1Gz337NkTAwcO5A9JYnNJWVkZcnNzu7xcxJCoGbpe+v0xPTw8JA9MjY2NBu38RUVFqKio4H1v/fz8uKCtXLkSTk5OqKiowOPHj+Hr64tVq1Z1ybUkLEe3FT5Dkaz4l62lpQWrVq1CWlqaBVdl2/Tr1w9xcXGIi4sD8F+0cvv2bWRkZOCzzz5Dbm4uAgMDERYWBh8fH2i1WkRERMDPz89osTW78TBzTUcnW4tvpCUlJXj06BEUCoWk5Zot1261tLS0u/Uodlmy/o/Mku/n54f+/fvbjdg7ODigV69ePNcMSLdInz59KqlRE/dZBaSiZkjYjImap6enQVErKSlBYWEhSktLuciVl5e3EjWlUolhw4Zh6tSpPFITT0Mnuhey3eqsra1FcHAwevfuDQAoKyuDh4cHTp8+LavtTlPZvXs3fvzxRx5ZsO0bPz8/vPnmmxg2bBiio6MlZRTmQqPR8O3DmpoaaLVayZxCS5ku2qpP08+nGSt7MLQNyMZPiWvvFAqFJBdqT7k0hrjpATu/hoYGPsmhR48eknlzrM+qoZwaM4boR2pM1FxdXaFUKls5IP39/TFo0CASNXkgvxyfVqtFaGgozp8/Dz8/P0RHR+PQoUOIiIgwePyECRNMzvG15xbdtm0bdu3aBUdHRwwcOBA///wzAgMDu+S8bI3y8nLebu369evQarWIiorC2LFj8dZbbxkcYNnVtLS08IiC1RSyrVEWUXQkz2RoFp+hlk/i/KOhfo9dGaVpNBqJg5Tl0tg5Wnuun1jUDEVr4qYHhnJqzs7OUKlUqKysRFlZGRoaGrBz505eesCMUSyvJo7UxDk1EjVChPyEDwB+//13rFy5EjqdDgsXLsT69euxceNGREVFIT4+XnKsqcJnilv0r7/+wpgxY+Dm5oYdO3bg4sWLOHr0qFnO0dZobGzEzZs3eXF9aWkphg0bxt2jr7/+utlv0PrNqmtra+Hg4CCZdwfAaNG1eBpGR4aCWhKxQ1YcFYqbjXdV3SQTNWM5tfZEzcXFBT169EBTU5MkUmPdRFikptPpuKj5+fnx7fTKykrk5+cjJCQE33zzjdWvPWE3yFP4zIGpblFGdnY2li9fjitXrlhsjbaETqfD3bt3uXv0/v378Pf3l0yt76obNDPVGHPyaTQa6HQ6CIIAQRB42ydxgb2tFF2/Cqz5MRNDVjcpnuun/9DBuvqYImrGiq979OiB5uZmSU6NbT8WFxfj+fPn0Ol0cHFxaRWpsS1IHx8fu772hE0iP1enuTDFLSpm9+7dmDp1qiWWZpMoFAqMGDECI0aMwPLlyyEIAgoKCpCRkYFffvkFycnJcHFx4SUUY8aMgaenZ6vPMdQbk92kxaYafRs/616jn09jeTQmEkVFRXB2dpa0XLOXHo8MJycneHp68uvHGghUVVXh8ePHaGxshCAI/DqwnBozirDr1KdPn1aiZixS0xc1llMLCwtDbGws/P394evrS6JG2BT29ZttA7TnFhVz4MABZGVl4dKlS+Zelt3g4OCAwMBABAYG4oMPPgDw36ims2fP4vjx4/jkk09QX18PHx8ftLS0YOzYsUhKSuITDNjNmU2Vf9XG2KwLCetAD4BPbaisrMSTJ0/4LD9xRGgrN29xyYihriKs+woTNU9PT/j6+sLJyQlqtRpNTU18PtzVq1fx5MkTeHl5wdHREeXl5SguLkZZWRkXNV9fXx6phYWFISYmBgEBASRqhF1CwtdBlEolCgsL+fuioiKDBo5z585h8+bNuHTpUocceO0ZZ1QqFebPn49bt27B09MTR48eRVBQ0Cufjy3g7u6OkJAQDBkyBOPHj4e3tzdqa2tRUFCAW7duYeXKlQgNDeXbo4MHDzZLNNazZ094e3vD29sbwP+XGdTU1ODRo0dobm6Gm5ubZE6hOfKVpoqa/vajOLrt0aMHVCpVm5GaVqtFz549ERAQAAB4+PAhysvLMWjQIBw8eBB+fn4kanaI3Fo1vgqU4+sgprhFs7OzkZiYiLNnzyIkJMTkzzbFOLN9+3bcuXMHO3fuxJEjR/Drr792e+OMIAjIycnhhpl//vkHAwYM4IX10dHRvCzF3OtobGzkLdfq6+vh6OgoKTNor6bQUB5S/FpcB9lWSzF9URPn1MrKyrioiSM1/ZyasVZuarXapmsjCeNQq0YJZG7pStpzi8bGxvJemAAQEBCA06dPt/u5phhn4uLisGnTJowbNw5arRaDBg1CRUWF7J7KS0tLceXKFVy+fBnXr18HAERHR3MxNPfUeoZarZY04tZoNJLpBGKh0xc1Q2YRBwcHqFQqHpmJZ6kVFRW1EjVDrbJ8fX0t1p+UsC2oVaMEMrd0JdOmTcO0adMkf/b555/z1+fOnXulzzXFOCM+hkUbVVVVGDBgwCv9THvFx8cHiYmJSExMBAA0NDTwqfV79uxBZWUl3njjDb492tmp9WIBM7T9yETNzc2NR2T19fVcCPv374+nT59i9OjRqKurQ1FRUatIrbS0FFqtFs7OzpJILTg4GOPHj+c5NRI1whjUqtE0SPhsCFOMMx0x18iJ3r17IyYmBjExMQD+25K+c+cOMjIy8NVXX+HRo0cICgriQhgZGcm38/TH9BgSNf0OLK6urtzwwiI1tVot6SLCXtfW1gIAcnJy8OzZMwiCAH9/f0ybNg3h4eF45513+OBQEjX7w5YaWlCrRtMg4bMhTDHOsGOUSiW0Wi1qa2vh4eFh6aXaPI6Ojhg5ciRGjhyJFStWQBAE/Pbbb9i/fz8OHjyI4uJiuLm5wdnZGfHx8UhMTOQ2fldXV7i7u0smGmg0GqPbj6WlpdBoNHBycpJsPwYGBuLtt9/mkRr7rLq6Oty4cQNRUVFwd3e39qUiOoFOp8OyZcskObX4+HhJTi0yMhJZWVm8ocXatWvNlpdv7x5SX1+Pe/fuYcKECQD+a9UYHx8vu1aNJHw2RHR0NHJzc5GXlwc/Pz8cOXIEhw4dkhwTHx+PvXv3Yty4cThx4gQmTZrU4QjhxYsXmDNnDvLz8xEUFIRjx461ugHfvn0bH330Eerq6qBQKLB+/XrMmTOn0+doLRwcHKBUKpGUlMS3EJ2cnJCVlYWMjAysX78eTU1NGDp0KB9Vw8RNq9XCyckJPj4+vACbiRqL1Doy8qdv376YPHmymc+YsAQ3b97EkCFDMHjwYADAe++9h1OnTkmEb+LEifz12LFjceDAAbOtp717SL9+/VBZWcnfd6RVY3eChM+GcHR0RGpqKuLi4rhxJiIiQmKcWbRoEebNm4chQ4bAw8MDR44c6fDPSUlJQUxMDJKTk5GSkoKUlBR8/fXXkmPc3Nywb98+hISEoKSkBKNGjUJcXJxFmlCbCxYBipk5cyZmzpwJAGhubkZ6ejoyMzMxadIkLpDmmGNHdA9sraGFKfcQAuDtm4x8Ed2Q0NBQoaSkRBAEQSgpKRFCQ0Pb/TfDhw8X/v33X3MvjSDa5MyZM0JoaKgQHBwsbNmypdXfNzc3C7NnzxaCg4OF0aNHC3l5eWZdz7Fjx4RFixbx9/v27ROWL19u8Nj9+/cLY8aMEZqbm826JoJjVNvsY8gX0aU8f/6cl1r4+PigvLy8zeNv3rwJtVqN4OBgSyyPIAzC8mlnzpzBgwcPcPjwYTx48EByzO7du+Hu7o7Hjx9j1apVWLdunVnX1NGGFqdPn7bLkVLdDdrq7KbExsairKys1Z9v3ry5Q59TWlqKefPmYe/evXYzDJXonpiSTzt16hQ2bdoEAEhMTOT9Yc21VW1KXj47OxtLly7F2bNn4eXlZZZ1EB2DhK+b0lYtobe3N0pLS+Hj44PS0lKjv4x1dXWYPn06vvzyS4wdO9ZcSyUIk7DFOldTcmpr1qxBQ0MDkpKSAJje0IIwHyR8MoQ5Q5OTk7F3717MmjWr1TFqtRoJCQmYP38+/4XtCKY4Rxl1dXUYOnQoEhISkJqa2uGfRcgDwUbrXM3V0IIwH7R3ZQNs2LAB33//PX+/fv16/PDDD2b7ecnJyUhPT0dISAjS09N5wW1WVhYWL14MADh27Bj+/vtvpKWl8bFCt2/fNvlnMOdobm4uYmJikJKSYvTYDRs2YPz48Z07KcIsvHjxApMnT0ZISAgmT56M6urqVsfcvn0b48aNQ0REBIYPH261GjX9Y6jOlTBKW84Xy5tw5EleXp4QGRkpCIIg6HQ6YfDgwUJlZaWVV9U5THWOZmVlCXPmzBH27NkjLFu2zJJLJExgzZo13D25ZcsWYe3ata2OycnJ4Y7f4uJiYdCgQUJ1dXWXr0Wj0Qivvfaa8PTpU0GlUgnDhw8X7t27JzkmNTVVWLp0qSAIgnD48GEhKSmpy9dB2A3k6rRlgoKC4OnpiezsbPz555+IjIw0OIzVnjDFOdrS0oLVq1fj22+/tfTyCBM5deoUFixYAABYsGABTp482eqY0NBQPoXE19cXXl5eqKio6PK1iPNpQ4cOxezZs3k+jeXMFi1ahKqqKgwZMgTbtm1rc6eBkC+U47MRFi9ejLS0NJSVlWHhwoXWXo5JdNY5un37dkybNk1iWCBsC1srfWkvn+bi4oLjx4+b5WcT3QcSPhshISEBGzduhEajaWWHtlU66xy9du0aMjIysH37djQ0NECtVqN3796yfEq3phmISl8IuUH/O20EZ2dnTJw4EbNnz4ZCobD2cjoNc44CMOocPXjwIAoKCpCfn4+tW7di/vz5JoueKaYLACgoKMCUKVMwdOhQhIeHIz8//5XPyZxY0wx07tw53Lt3r9XXrFmz+AMMACp9IboNJHw2QktLC65fv45FixZZeyldginO0c5gqlDMnz8fa9aswcOHD3Hz5k2bLSA2JZcGALdu3cLz588xZcoUi6zLlAeYzpa+WIvMzEwMHz4czc3NePnyJSIiInDv3j1rL4uwADSB3QZ48OABZsyYgYSEBPzvf/+z9nLsgrCwMFy8eJFvpU6YMAE5OTmSYx48eIAlS5bg8uXLVlql6fTv3x81NTX8vbu7e6sotqWlBZMmTcL+/ftx/vx5ZGVlmb3usaqqCrNnz0ZBQQECAgJw/PhxeHh4ICsrCzt37sSuXbtw4MABfPjhh4iIiOD/jpXB2Dqffvopmpub0dTUBKVS2WpSOWHXGC3gJOEj7BJThOLkyZPYtWsXnJ2dkZeXh9jYWKSkpFhtK7mtXNqCBQvaPZ/U1FQ0NjZi7dq1SEtLs4jwdXfUajWio6Ph4uKCq1evdos0A8ExKnxkbiFsls6aLrRaLTIyMpCdnY2AgADMmTMHaWlpVttOJjOQ7fHixQs0NDRAo9GgubkZvXr1svaSCAtAwkfYLJ0VCqVSicjISN7U+N1337XZPKopbeQOHjzIX7OIj0SvcyxZsgRffPEF8vLysG7dOoqgZQKZWwi7xBTTRXR0NKqrq3kx9YULFySd/G0Jc5uBiNbs27cPjo6OeP/995GcnIzMzExcuHDB2ssiLADl+Ai7xBTTBQCkp6dj9erVEAQBo0aNwk8//QRnZ2crr54gCAtA5haCIAhCVhgVPtrqJAiCIGQFCR9BEAQhK0j4CIIgCFlBwkcQBEHIChI+giAIQlaQ8BEEQRCygoSPIAiCkBUkfARBEISsIOEjCIIgZAUJH0EQBCErSPgIgiAIWUHCRxAEQcgKEj6CIAhCVpDwEQRBELKChI8gCIKQFSR8BEEQhKwg4SMIgiBkBQkfQRAEIStI+AiCIAhZQcJHEARByAoSPoIgCEJWkPARBEEQssKxnb93sMgqCIIgCMJCUMRHEARByAoSPoIgCEJWkPARBEEQsoKEjyAIgpAVJHwEQRCErCDhIwiCIGTF/wEUeLoYFoG3PwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def rotate_point_clouds(batch_data):\n",
    "    \"\"\" Randomly rotate the point clouds to augument the dataset\n",
    "    rotation is per shape based along up direction\n",
    "    Input:\n",
    "      BxNx3 array, original batch of point clouds\n",
    "    Return:\n",
    "      BxNx3 array, rotated batch of point clouds\n",
    "    \"\"\"\n",
    "    rotated_data = np.zeros(batch_data.shape, dtype=np.float32)\n",
    "    for k in range(batch_data.shape[0]):\n",
    "        rotation_angle = np.random.uniform() * 2 * np.pi\n",
    "        cosval = np.cos(rotation_angle)\n",
    "        sinval = np.sin(rotation_angle)\n",
    "        rotation_matrix = np.array([[cosval, 0, sinval],\n",
    "                                    [0, 1, 0],\n",
    "                                    [-sinval, 0, cosval]])\n",
    "        shape_pc = batch_data[k, ...]\n",
    "        rotated_data[k, ...] = np.dot(shape_pc.reshape((-1, 3)), rotation_matrix)\n",
    "    return rotated_data\n",
    "\n",
    "def rotate_point_cloud(point_cloud):\n",
    "    \"\"\" Randomly rotate the point clouds to augument the dataset\n",
    "    rotation is per shape based along up direction\n",
    "    Input:\n",
    "      Nx3 array, original batch of point clouds\n",
    "    Return:\n",
    "      Nx3 array, rotated batch of point clouds\n",
    "    \"\"\"\n",
    "    \n",
    "    #随机一个角度，然后构建旋转角度\n",
    "    rotation_angle = np.random.uniform() * 2 * np.pi\n",
    "    cosval = np.cos(rotation_angle)\n",
    "    sinval = np.sin(rotation_angle)\n",
    "    #绕y轴旋转\n",
    "    rotation_matrix = np.array([[cosval, 0, sinval],\n",
    "                                [0, 1, 0],\n",
    "                                [-sinval, 0, cosval]])\n",
    "    # 绕x，z\n",
    "    \n",
    "    rotated_data = np.dot(point_cloud, rotation_matrix)\n",
    "    return rotated_data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "rdata = rotate_point_cloud(translate_pointcloud(data))\n",
    "\n",
    "draw_Point_Cloud(rdata)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def rotate_point_cloud_by_angle(point_cloud, rotation_angle, axis = 0):\n",
    "    \"\"\" Randomly rotate the point clouds to augument the dataset\n",
    "    rotation is per shape based along up direction\n",
    "    Input:\n",
    "    Nx3 array, original batch of point clouds\n",
    "    Return:\n",
    "    Nx3 array, rotated batch of point clouds\n",
    "    \"\"\"\n",
    "    \n",
    "    #一个角度，然后构建旋转角度\n",
    "    #rotation_angle = np.random.uniform() * 2 * np.pi\n",
    "    cosval = np.cos(rotation_angle)\n",
    "    sinval = np.sin(rotation_angle)\n",
    "    #y\n",
    "    if(axis == 0):\n",
    "        rotation_matrix = np.array([[cosval, 0, sinval],\n",
    "                                    [0, 1, 0],\n",
    "                                    [-sinval, 0, cosval]])\n",
    "    #z\n",
    "    elif (axis == 1):\n",
    "        rotation_matrix = np.array([[cosval,-sinval, 0 ],\n",
    "                                [sinval, cosval, 0],\n",
    "                                [0, 0, 1]])\n",
    "    else:\n",
    "        rotation_matrix = np.array([[1,0, 0 ],\n",
    "                            [0,cosval ,-sinval],\n",
    "                            [0, sinval, cosval]])\n",
    "\n",
    "    rotated_data = np.dot(point_cloud, rotation_matrix)\n",
    "    return rotated_data\n",
    "\n",
    "rdata_by_angle = rotate_point_cloud_by_angle(data, -np.pi,axis = 3)\n",
    "draw_Point_Cloud(rdata_by_angle)\n",
    "draw_Point_Cloud(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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